Mathematics online reviewer

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Mathematics

ARITHMETIC

This quiz is intended for checking your knowledge on Arithmetic. It takes 20 minutes to pass the quiz. If you don’t finish the quiz within the mentioned time, all the unanswered questions will count as wrong. You can miss the questions by clicking the “Next” button and return to the previous questions by the “Previous” button. Every unanswered question will count as wrong.. Nevertheless, in case of skipping a question, you simply won’t get points. The Test will display 30 questions attached to the Quiz by random. You need to get at least 80% to pass the quiz.

1 / 30

Category: Math 3

A student has a maximum of 720 words from a combination of letters of a word given. The word is

Beijing

Washington

France

England

2 / 30

Category: Math 3

If |A| = 0, then A is

singular matrix

zero matrix

non-singular matrix

3 / 30

Category: Math 3

The letters of the CANADA taken all at a time can be written in

6 ways

24 ways

720 ways

2 ways

4 / 30

Category: Math 3

(A n B) n C is same as

A ∪ (B ∪ C

A n (B n C )

A ∪ (B ∪ C )

5 / 30

Category: math 4

A set has …………… objects.

Distinct

Not well-defixed

Identical

6 / 30

Category: Math 3

If z1 = 2 + i, z2 = 1 + 3i, then Re ( z1 - z2 ) =

2 i

7 / 30

Category: math 4

1/2,1/7,1/12,… is an example of

a Geometric Progression (GP)

a harmonic series

an arithmetic progression

a harmonic progression

8 / 30

Category: math 4

The 7th term of an arithmetic sequence whose first term is 2 and com- mon difference of zero is

9 / 30

Category: math 4

If x is not a perfect square then √x is

Retinol number

Irrational number

Prime number (

10 / 30

Category: math 4

The common difference of the sequence 5,8,11,14,… is

-3

11 / 30

Category: Math 3

n different objects can be arranged taken all at a time in

(2n)ι Ways

(n-1)ιways

n ways

(n+1)ιways

12 / 30

Category: math 4

The geometric mean between a and b is

a-b/2

a+b/2

±√( ab

b-a/2

13 / 30

Category: Math 3

Partial fractions of 1/(x²-1) are equivalent to

A/(x+1) + B/(x-1)

B/(x-1)

Ax+B/(x²-1)

A/(x+1)

14 / 30

Category: math 4

If A,G,H are the arithmetic, geometric means between a and b respec- tively, then

A > G > H

H > G > A

H≥ G > A

H≥ G≥ A

15 / 30

Category: math 4

If n is the total number of harmonic mean between a and b then mth harmonic mean between a and b is

(n+1)b+m(a-b)

(n+1)ab/(n+1)+n(a-b)

(n+1)ba

(n+1)ab/(n+1)b+m(a-b)

16 / 30

Category: math 4

The 5th term of the G.P 3,6,12,… is

17 / 30

Category: Math 3

Two matrices A and B are equal if

both are rectangular

both have same order

both have same order and equal corresponding elements

no of columns of A is equal to columns of B

18 / 30

Category: Math 3

An arrangement of finite numbers of objects taken some or all at a time is called their

A.P

permutation

Combination

Sequence

19 / 30

Category: Math 3

A matrix having m rows and n columns with m ≠ n is said to be a

square matrix

identity matrix

scalar matrix

rectangular matrix

20 / 30

Category: math 4

Modulus of complex number 3 – 4i is ……….

-5

21 / 30

Category: Math 3

Partial fraction of 2x² -3x 4/(x-1)³ will be of the form

A/(x-1) +bx + c/(x-1)² +D/(x-1)³

A/(x-1) +B/(x-1)² +C/(x-1)³

Ax+B/(x-1) +C/(x-1)² +D/(x-1)³

22 / 30

Category: Math 3

(n+1)n(n-1)/3.2.1 =

(n+1)ι/3ι(n-2)ι

(n-2)ι

3ι(n-2)ι/(n+1)ι

(n+1)ι

23 / 30

Category: math 4

The sum of first six terms of the series 1+7+13+… is

24 / 30

Category: math 4

If A, G, H are arithmetic, geometric and harmonic means between a and b respectively, then A,G,H are

Real numbers

in A.P

in H.P

in G.P

25 / 30

Category: Math 3

Two matrices A and B are multiplied to get BA if

both have same order

both are rectangular

no of columns of A is equal to columns of B

both are square matrices

26 / 30

Category: Math 3

The value of ¹⁰C4 x ⁸C3 is

10760

12760

11760

9760

27 / 30

Category: math 4

The sum of an infinite geometric series exist only if the condition on the common ratio r is

−1 ≤ r ≤ 1

−1 < r < 1

r ≤ −1,r≥ 1

. r < −1,r > 1

28 / 30

Category: math 4

The sum of the first fifteen terms of the series 3+19+35+… is

1725

345

29 / 30

Category: Math 3

The partial fractions of 1/(x+1)(x² - 1) will be of the form

A/(x+1) +B/(x+1)² +C/(x-1)

A/(x-1) + B/(x² + 1)

A/(x + 1) +B/(x + 1) +C/(x-1)

30 / 30

Category: Math 3

5 persons can be seated at a round table in

25 ways

24 ways

20 ways

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ALGEBRA

This quiz is intended for checking your knowledge in ALGEBRA. It takes 20 minutes to pass the quiz. If you don’t finish the quiz within the mentioned time, all the unanswered questions will count as wrong. You can miss the questions by clicking the “Next” button and return to the previous questions by the “Previous” button. Every unanswered question will count as wrong.. Nevertheless, in case of skipping a question, you simply won’t get points. The Test will display 30 questions attached to the Quiz out of 60 by random. You need to get at least 21 questions to pass the quiz

1 / 29

If a polynomial ƒ(x) is divided by a linear divisor x - a, then remainder is

ƒ(o)

ƒ(-a)

ƒ(a)

ƒ(a

2 / 29

The roots of the quadratic equation x² - 6x + 9 = 0 are

equal

unequal

irrational

unknowns

3 / 29

If the roots 3² + kx + 12 = 0 are equal, then k =

± 12

−12

4 / 29

If one solution of the equation x² + ax +2 = 0 is x = 1, then

a = -7

a = 7

a = 0

a = -3

5 / 29

If α and β are the roots of x² -2x + 3 = 0, then the equation with roots 1/α,1/β is

x² - 6x + 11 = 0

x² + 6x - 11 = 0

x² -11x + 6 = 0

3x² -2x + 1 = 0

6 / 29

For S = sum of the roots and P = product of the roots, the quadratic equation is

x² +Sx + P = 0

x² +Sx - P = 0

x² - Sx + P = 0

x² - Sx - P = 0

7 / 29

The sum and the product of the roots of equation x² - kx + k² = 0 are

k, k² .

k², k

−k, k²

k, −k²

8 / 29

The quadratic equation whose roots are α, β is

x² + (α + β)x + αβ = 0

x² - (α + β)x - αβ = 0

x² + (α + β)x - αβ = 0

x² - (α + β)x + αβ = 0

9 / 29

If x⁴ - 3x + 5 is divided by 2x - 1, then the remainder is

³⁵⁄16

−35⁄16

−9

10 / 29

If ƒ(x) = √(2cos(2πsin(x))), then ƒ(π/2) =

-1

√(2)

11 / 29

If f:x→x² - 2x+1 is a function, then ƒ(t+1) =

t+1

t²

t-1

t² -1

12 / 29

If ƒ(x) = -2x+8, then inv f(1) is

.⁹⁄2

⁷⁄2

²⁄9

13 / 29

If ƒ(x) = √(x+4), then ƒ(x²+4) is equal to

. x² -8

√(x²) -8

√(x²) +8

x² + 8

14 / 29

If f:x→xsec(x) is a function, then ƒ(0) =

−1

∞

15 / 29

If ƒ(x) = x-2 and g(x) = √(x²+1), then (g*f)(x) =

√(x² +1) - 2

√(x²)-4x +5

x² -1

x²-4x +5

16 / 29

Equations x = 3cost and y = 3sint represent the equation of

line

circle

. parabola

hyperbola

17 / 29

If y is an image of x under the function f, we write it as

x = ƒ(y)

y ≠ ƒ(x)

y = ƒ(x)

y = x

18 / 29

If y is expressed in terms of a variable x as Y = ƒ(x), then y is called

explicit function

implicit function

linear function

identity function

19 / 29

If roots of the equation x^2 + kx + 1 = 0 are equal, the value of k will be…

-4

20 / 29

System of simultaneous equation involves ……….. or more equations

21 / 29

If x is not a perfect square then √x is

Prime number (

Retinol number

Irrational number

22 / 29

The roots of the quadratic equation ax² + bx + c = 0 are real and distinct if

.b² - 4ac = 0

b² - 4ac > 0

b² - 4ac < 0

b² - 4ac≥ 0

23 / 29

The quadratic function is defined as

ƒ(x) = ax² + bx + c, a ≠ 0

ƒ(x) = ax + bx, a ≠ 0

ƒ(x) = ax³ + bx + c, a ≠ 0

ƒ(x) = a, a ≠ 0

24 / 29

If 9x² + kx + 16 is a perfect square, then k =

-24

±24

25 / 29

If one root of the equation x² - 3x + a = 0 is 2, then

a = -2

a = 2

. a = 0

a = -3

26 / 29

For a quadratic equation ax² + bx + c = 0, the sum of the root is

b/a

−b/a

c/a

27 / 29

What is a factor of x³ - 3x² + 2x - 6

x-4

x-3

x+3

x+2

28 / 29

The roots of the quadratic equation x² - 6x + 10 = 0 are

equal

imaginary

irrational

real

29 / 29

If a < 0, then the function ƒ(x) = a x² + bx + c has

maximum value

minimum value

constant value

. positive value

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Mathematics

GEOMETRY AND TRIGONOMETRY

This quiz is intended for checking your knowledge on Geometry and Trigonometry. It takes 20 minutes to pass the quiz. If you don’t finish the quiz within the mentioned time, all the unanswered questions will count as wrong. You can miss the questions by clicking the “Next” button and return to the previous questions by the “Previous” button. Every unanswered question will count as wrong.. Nevertheless, in case of skipping a question, you simply won’t get points. The Test will display 30 questions attached to the Quiz by random. You need to get at least 80% to pass the quiz.

1 / 30

Category: Math 5

If the angles of a triangle are in the ratio 1 : 2 : 3, then the sides are in the ratio

√3 : 1 : 2

1 : √3 : 2

1 : 2 : √3

√3 : 2 : 1

2 / 30

Category: Math 5

The period of sec and cosec function is …………

л/2

л/4

3л/4

2л

3 / 30

Category: Math 5

If a circle is divided into 360 equal parts then cache part is called -----

Quadrant

Degree

Minute

Radian

4 / 30

Category: Math 5

The angle of an arc of a circle where arc length is equal to the radius of the circle is called…

Radian

Right angle

Degree

Minute

5 / 30

Category: Math 3

If α, β, γ are the angles of a triangle ABC, then sin(α + β) =

−cos γ

cos γ

sin γ

tan γ

6 / 30

Category: math 1

If the area of a circle is 64π sq mm, compute the allowable error in the area of a circle if the allowable error in the radius is 0.02 mm.

1.58 sq mm

1.01 sq mm

2.32 sq mm

0.75 sq mm

7 / 30

Category: Math 3

sin(θ+270°) is equal to

cotθ

tanθ

sinθ

−cosθ

8 / 30

Category: Math 5

Sin β = ………………

2sin β cos β

Sin β /2 cos β / 2

2sin β / 2 cos β / 2

9 / 30

Category: Math 5

In any triangle, with usual notations, Sin α / 2 is equal to.

(√(s - a) (s – c)) / ac

(√(s + b) (s – c) )/ bc

(√(s + b) (s + c) )/ bc

√(s – b) (s – c)) / bc

10 / 30

Category: math 4

The period of cot(x) is

2π

4π

3π

11 / 30

Category: Math 5

A triangle which is not right angled is called........................

isosceles

Obtuse – angle

Acute – angledd

Oblique

12 / 30

Category: Math 3

The area of a square of side having length 2 cm is

2 square units

4 square units

8 square units

16 square units

13 / 30

Category: Math 5

1 Radian is equal to …… degrees.

180 / pi

pi/ 180

180

14 / 30

Category: Math 5

Cos (120 degrees ) = ……..

-√3 /2

- ½

√3 /2

15 / 30

Category: Math 3

If cotθ > 0 and sinθ < 0, then terminal arc of the angle lies in quadrant

16 / 30

Category: Math 5

The range of y = sin x & y = Cos x is ………….

-1 ≤ y ≤ 1

1 < y < 1

0 ≤ y ≤ 1

-1 ≤ y ≤ 0

17 / 30

Category: Math 5

An angle is the square is the union of two……….rays having a common vertex.

Collinear

Perpendicular

Opposite

Non-collinear

18 / 30

Category: Math 3

If an arc of length l of circle of radius r students' an angle θ radian at the center, then l is

θ/r

r/θ

1/r θ

rθ

19 / 30

Category: Math 5

In 1st Quadrant the value of sine ………..

Increases from -1 to 0

Decreases from 0 to -1

Decreases from 1 to 0

Increases from 0 to 1

20 / 30

Category: math 1

If the volume of a sphere is 1000π/6 cu mm and the allowable error in the diameter of the sphere is 0.03 mm, compute the allowable error in the volume of a sphere.

6.72 cu mm

4.71 cu mm

3.68 cu mm

5.53 cu mm

21 / 30

Category: math 4

If tanθ > 0, sinθ < 0, then the terminal arm of the angle lies in the quadrant

22 / 30

Category: Math 3

Equations x = 3cost and y = 3sint represent the equation of

circle

. parabola

line

hyperbola

23 / 30

Category: Math 5

Trigonometry is the branch of math’s in which we study……..

Quadrilateral

Rectangle

Square

Triangle

24 / 30

Category: Math 3

If sinθ = 1/√2, then θ is

30°

45°

60°

180°

25 / 30

Category: Math 5

Where will the terminal side lie for the angle θ = -500 degrees?

1st Quadrant

4th Qd

2nd quadrant

3rd Qd.

26 / 30

Category: Math 5

Cot 15= ……………

1 + √3 / 1 - √3

√3 – 1 / √3 + 1

√3 + 1 / √3 – 1

1 - √3 / 1 + √3 _

27 / 30

Category: Math 3

If A is the area of the circle and C is its circumference C, then A =

1/4π C²

1/8π C² B. C.

1/2π C²

π C²

28 / 30

Category: Math 5

In 3rd Q. the value of cosines………..

Increases

decreases

Constant

29 / 30

Category: Math 3

If an arc of length l of circle of radius r students' an angle θ radian at the center, then l =

θ/r

r/θ

rθ

1/r θ

30 / 30

Category: Math 5

"pi" ‘is the ratio between of the circle

Radius and angle

Diameter and arc length

Radius & circumference

Diameter & Circumference

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Trigonometric Identities

This quiz is intended for checking your knowledge on Trigonometric Identities. It takes 20 minutes to pass the quiz. If you don’t finish the quiz within the mentioned time, all the unanswered questions will count as wrong. You can miss the questions by clicking the “Next” button and return to the previous questions by the “Previous” button. Every unanswered question will count as wrong.. Nevertheless, in case of skipping a question, you simply won’t get points. The Test will display 30 questions attached to the Quiz by random. You need to get at least 80% to pass the quiz.

1 / 29

If sinθ = 1/√2, then θ is

60°

30°

180°

45°

2 / 29

√((1 - sinθ)/(1 + sinθ)) is the same as

secθ

tanθ-secθ

secθ-tanθ

cscθ

3 / 29

cos²2θ+sin²2θ is the same

-1

4 / 29

cosθ+sinθtanθ is equal to

sec²2θ

sec2θ

secθ

cscθ

5 / 29

cotθ is equal to

1/cosθ

1/tanθ

sinθ/cosθ

cosecθ

6 / 29

cos6θ+cosec3θ =

2cos9θ/2 cos3θ/2

2sin9θ/2 sin3θ/2

2sin9θ/2 cos3θ/2

7 / 29

26: tan(π+α) =

tanα

−tanα

cotα

−cotα

8 / 29

sin8θ-sin4θ =

2sin4θsin3θ

2sin6θcos2θ

2cos6θsin2θ

2cos4θsinθ

9 / 29

sin(x+90°) + sin(x-90°) =

1/√(2cos(x))

√(3)/2sin(x)

1/√(2sin(x))

10 / 29

2sin(x+45°)sin(x-45°) =

cos2x

−cos2x

sin2x

−sin2x

11 / 29

(cos(x)-cos3x)/(sin3x-sin(x)) =

cot2x

tan2x

. csc2x

sec2x

12 / 29

sin(3π/2-θ) =

sinθ

cosθ

−sinθ

−cosθ

13 / 29

sin(-625) =

−cos5°

cos5°

. sin5°

−sin5°

14 / 29

(cos(x)-cos3x)/(sin3x-sin(x)) =

cot2x

tan2x

csc2x

sec2x

15 / 29

sin5θcos2θ =

1/2[sin7θ+sin3θ] .

[sin7θ+sin3θ]

1/2[sin7θ-sin3θ]

16 / 29

cosθ + cosπ =

−2sin(θ + π/2)sin(θ-π/2)

2cos(θ + π/2)sin(θ-π/2)

2cos(θ + π/2)cos(θ-π/2)

17 / 29

The range of cos(x) is

[-1 1]

R-{x|x = (2n+1)π/2,nεZ

R-{x|x = nπ,nεZ}

18 / 29

The period of cot(x) is

2π

3π

4π

19 / 29

2cos α sin β = ………………

Sin (α+β) + sin (α-β)

Sin (α+β) – sin (α-β)

Cos (α+β) + cos (α-β)

Cos (α+β) – cos (α-β)

20 / 29

Sin β = ………………

2sin β cos β

Sin β /2 cos β / 2

2sin β / 2 cos β / 2

21 / 29

Cot 15= ……………

√3 – 1 / √3 + 1

1 - √3 / 1 + √3 _

1 + √3 / 1 - √3

√3 + 1 / √3 – 1

22 / 29

Tan (270 + θ) = ………..

tan θ

-tan θ

cot θ

-cot θ

23 / 29

Cos (α + β) = ………………

Sin α cos β + cos α sin β

Sin α cos β - cos α sin β

cos α cos β - sin α sin β

cos α cos β + sin α sin β

24 / 29

Sin (α-β) = …………

Sin α cos β + cos α sin β

Sin α cos β – cos α sin β

Cos α cos β – sin α sin β

cos α cos β + sin α sin β

25 / 29

Tan (-990 degrees0 ) = ………

- 1

∞

26 / 29

Cos 30 Cos 60+ sin 30 sin 60 = ……………

- ½

- √3 /2

√3 /2

27 / 29

Sin (-180 degrees ) = …

- 1

+ 1

Zero

∞

28 / 29

Cos (120 degrees ) = ……..

- ½

√3 /2

-√3 /2

29 / 29

Cosx (tan x + cot x) = ………

Sinx

Cosx

Cosecx

Sec x

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Mathematics

Limits and Derivatives

This quiz is intended for checking your knowledge on Limits and Derivatives . It takes 30 minutes to pass the quiz. If you don’t finish the quiz within the mentioned time, all the unanswered questions will count as wrong. You can miss the questions by clicking the “Next” button and return to the previous questions by the “Previous” button. Every unanswered question will count as wrong.. Nevertheless, in case of skipping a question, you simply won’t get points. The Test will display 30 questions attached by random. You need to get at least 80% to pass the quiz.

Category: math 1

Find the derivative of y=x^x.

x^x (8+ln x)

x^x (2+ln x)

x^x (1+ln x)

x^x (4-ln x)

Category: math 1

Find the slope of (x^2)y=8 at the point (2,2).

-1/2

-2

-1

Category: math 1

Find the equation of the curve whose slope is 3x^4-x^2 and passes through point (0,1).

y=(3x^5)/5-(x^3)/3+1

y=(x^4)/4-(x^3)+1

y=(2x^5)/5-2x+1

y=(3x^5)-(x^3)/3+1

Category: math 1

Determine the slope of the curve y=x^2-3x as it passes through the origin.

-4

-3

Category: math 1

Find dy/dx in the equation y=(x^6+3x^2+50)/(x^2+1) if x=1

-18

-21

Category: math 1

Find y’ in the following equation y=4x^2-3x-1.

4x-3

8x-x

8x-3

2x-3

Category: math 1

Find y’ if y=ln x

x ln x

ln x^2

1/ln x

1/x

Category: math 1

Find the derivative of h with respect to u if h=π^(2u).

2π^(2u) ln π

π^(2u)

2π^(2u)

2u ln π

Category: math 1

Find the derivative of y=2^(4x).

3^(4x+2) ln 2

4^(4x+2) ln 25

2^(4x+2) ln 2

6^(3x+2) ln 2

Category: math 1

Evaluate the limits of lim (x^3-2x+9) /(2x^3-8).

-9/8

Category: math 1

Evaluate the limits of lim (x^3-2x+9) /(2x^3-8).

-9/8

Category: math 1

Find the derivative of y=log_a 4x.

y’=(loga e)/x

y’=(tan e)/x

y’=(cos e)/x

y’=(sin e)/x

Category: math 1

Differentiate the equation y=(x^2)/(x+1).

(x^2+2x)/(x+1)^2

x/(x+1)

2x^2/(x+1)

Category: math 1

What is the limit of cos (1/y) as y approaches infinity?

-1

infinity

Category: math 1

What is the derivative with respect to x of (x+1)^3 – x^3.

6x+3

3x-3

6x-3

3x+3

Category: math 1

What is the first derivative dy/dx of the expression (xy)^x=e.

x/y

–y(1-ln xy)/x^2

–y(1+ln xy)/x

Category: math 1

If ln (ln y) + ln y = ln x, find y’.

x/(x+y)

b. x/(x-y)

d. y/(x-y)

c. y/(x+y)

Category: math 1

If y=x/(x+1), find y’.

1/(x+1)^2

(x+1)^2

x+1

1/(x+1)^3

Category: math 1

Evaluate the lim (x^2-16)/(x-4).

Category: math 1

The limit of (x-4)/(x Evaluate the ^2-x-12) as x approaches 4.

undefined

infinity

1/7

Category: math 1

If y1=2x+4 and y2=x^2+C, find the value of C such that y2 is tangent to y1.

Your score is

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Mathematics MCQ

A student has a maximum of 720 words from a combination of letters of a word given. The word is

If |A| = 0, then A is

The letters of the CANADA taken all at a time can be written in

(A n B) n C is same as

1/2,1/7,1/12,… is an example of

The 7th term of an arithmetic sequence whose first term is 2 and com- mon difference of zero is

If x is not a perfect square then √x is

The common difference of the sequence 5,8,11,14,… is

n different objects can be arranged taken all at a time in

The geometric mean between a and b is

Partial fractions of 1/(x²-1) are equivalent to

If A,G,H are the arithmetic, geometric means between a and b respec- tively, then

If n is the total number of harmonic mean between a and b then mth harmonic mean between a and b is

The 5th term of the G.P 3,6,12,… is

Two matrices A and B are equal if

An arrangement of finite numbers of objects taken some or all at a time is called their

A matrix having m rows and n columns with m ≠ n is said to be a

Modulus of complex number 3 – 4i is ……….

Partial fraction of 2x² -3x 4/(x-1)³ will be of the form

(n+1)n(n-1)/3.2.1 =

The sum of first six terms of the series 1+7+13+… is

If A, G, H are arithmetic, geometric and harmonic means between a and b respectively, then A,G,H are

Two matrices A and B are multiplied to get BA if

The value of ¹⁰C4 x ⁸C3 is

The sum of an infinite geometric series exist only if the condition on the common ratio r is

The sum of the first fifteen terms of the series 3+19+35+… is

The partial fractions of 1/(x+1)(x² - 1) will be of the form

5 persons can be seated at a round table in

If a polynomial ƒ(x) is divided by a linear divisor x - a, then remainder is

The roots of the quadratic equation x² - 6x + 9 = 0 are

If the roots 3² + kx + 12 = 0 are equal, then k =

If one solution of the equation x² + ax +2 = 0 is x = 1, then

If α and β are the roots of x² -2x + 3 = 0, then the equation with roots 1/α,1/β is

For S = sum of the roots and P = product of the roots, the quadratic equation is

The sum and the product of the roots of equation x² - kx + k² = 0 are

The quadratic equation whose roots are α, β is

If x⁴ - 3x + 5 is divided by 2x - 1, then the remainder is

If ƒ(x) = √(2cos(2πsin(x))), then ƒ(π/2) =

If f:x→x² - 2x+1 is a function, then ƒ(t+1) =

If ƒ(x) = √(x+4), then ƒ(x²+4) is equal to

If f:x→xsec(x) is a function, then ƒ(0) =

If ƒ(x) = x-2 and g(x) = √(x²+1), then (g*f)(x) =

Equations x = 3cost and y = 3sint represent the equation of

If y is an image of x under the function f, we write it as

If y is expressed in terms of a variable x as Y = ƒ(x), then y is called

If roots of the equation x^2 + kx + 1 = 0 are equal, the value of k will be…

System of simultaneous equation involves ……….. or more equations

If x is not a perfect square then √x is

The roots of the quadratic equation ax² + bx + c = 0 are real and distinct if

The quadratic function is defined as

If 9x² + kx + 16 is a perfect square, then k =

If one root of the equation x² - 3x + a = 0 is 2, then

For a quadratic equation ax² + bx + c = 0, the sum of the root is

What is a factor of x³ - 3x² + 2x - 6

The roots of the quadratic equation x² - 6x + 10 = 0 are

If a < 0, then the function ƒ(x) = a x² + bx + c has

If the angles of a triangle are in the ratio 1 : 2 : 3, then the sides are in the ratio

The period of sec and cosec function is …………

If a circle is divided into 360 equal parts then cache part is called -----

The angle of an arc of a circle where arc length is equal to the radius of the circle is called…

If α, β, γ are the angles of a triangle ABC, then sin(α + β) =

If the area of a circle is 64π sq mm, compute the allowable error in the area of a circle if the allowable error in the radius is 0.02 mm.

Sin β = ………………

In any triangle, with usual notations, Sin α / 2 is equal to.

The period of cot(x) is

A triangle which is not right angled is called........................

The area of a square of side having length 2 cm is

If cotθ > 0 and sinθ < 0, then terminal arc of the angle lies in quadrant

The range of y = sin x & y = Cos x is ………….

An angle is the square is the union of two……….rays having a common vertex.

If an arc of length l of circle of radius r students' an angle θ radian at the center, then l is

In 1st Quadrant the value of sine ………..

If the volume of a sphere is 1000π/6 cu mm and the allowable error in the diameter of the sphere is 0.03 mm, compute the allowable error in the volume of a sphere.

If tanθ > 0, sinθ < 0, then the terminal arm of the angle lies in the quadrant

Equations x = 3cost and y = 3sint represent the equation of

If sinθ = 1/√2, then θ is

Where will the terminal side lie for the angle θ = -500 degrees?

Cot 15= ……………

If A is the area of the circle and C is its circumference C, then A =

Find the derivative of y=log_a 4x.