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

scalar matrix

square matrix

identity matrix

rectangular matrix

2 / 30

Category: Math 3

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

Ax+B/(x-1) +C/(x-1)² +D/(x-1)³

A/(x-1) +B/(x-1)² +C/(x-1)³

A/(x-1) +bx + c/(x-1)² +D/(x-1)³

3 / 30

Category: math 4

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

4 / 30

Category: Math 3

Two matrices A and B are multiplied to get BA if

no of columns of A is equal to columns of B

both are square matrices

both have same order

both are rectangular

5 / 30

Category: math 4

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

345

1725

6 / 30

Category: Math 3

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

France

Beijing

Washington

England

7 / 30

Category: Math 3

5 persons can be seated at a round table in

20 ways

24 ways

25 ways

8 / 30

Category: Math 3

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

(n+1)ι

3ι(n-2)ι/(n+1)ι

(n-2)ι

(n+1)ι/3ι(n-2)ι

9 / 30

Category: Math 3

An improper fraction can be reduced to proper fraction by

subtraction

addition

multiplication

division

10 / 30

Category: Math 3

The value of ¹⁰C4 x ⁸C3 is

11760

9760

10760

12760

11 / 30

Category: math 4

1/2,1/7,1/12,… is an example of

a harmonic series

a harmonic progression

an arithmetic progression

a Geometric Progression (GP)

12 / 30

Category: math 4

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

13 / 30

Category: math 4

The series obtained by adding the term of arithmetic sequences is called

harmonic series

infinite series

arithmetic series

geometric series

14 / 30

Category: math 4

The geometric mean between a and b is

a-b/2

a+b/2

±√( ab

b-a/2

15 / 30

Category: math 4

The 5th term of the G.P 3,6,12,… is

16 / 30

Category: Math 3

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

24 ways

6 ways

720 ways

2 ways

17 / 30

Category: Math 3

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

A/(x+1)

B/(x-1)

Ax+B/(x²-1)

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

18 / 30

Category: Math 3

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

2 i

19 / 30

Category: math 4

If x is not a perfect square then √x is

Prime number (

Irrational number

Retinol number

20 / 30

Category: Math 3

(A n B) n C is same as

A ∪ (B ∪ C

A n (B n C )

A ∪ (B ∪ C )

21 / 30

Category: math 4

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

in H.P

in G.P

Real numbers

in A.P

22 / 30

Category: Math 3

Two matrices A and B are equal if

both are rectangular

both have same order and equal corresponding elements

no of columns of A is equal to columns of B

both have same order

23 / 30

Category: math 4

1 in polar form can be written as……

Cos π/2 + sinЛ/2

Cos0 + i sin0 (

Cos π + i sin π

24 / 30

Category: math 4

A set has …………… objects.

Distinct

Identical

Not well-defixed

25 / 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

26 / 30

Category: Math 3

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

n ways

(2n)ι Ways

(n-1)ιways

(n+1)ιways

27 / 30

Category: Math 3

The transpose of a rectangular matrix is a

square matrix

rectangular matrix

scaler matrix

diagonal matrix

28 / 30

Category: Math 3

A fraction in which the degree of the numerator is greater than the degree of the denominator

an improper fraction

. algebraic relation

equation

a proper fraction

29 / 30

Category: math 4

The 5th term of the G.P 3,6,12,… is

30 / 30

Category: Math 3

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

permutation

Combination

A.P

Sequence

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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

1 Radian is equal to …… degrees.

pi/ 180

180

180 / pi

2 / 30

Category: Math 5

Sin (-180 degrees ) = …

- 1

Zero

+ 1

∞

3 / 30

Category: Math 5

The radius of a circular sector having area A = 200 cm^2 & central angle θ = 2 rads is…

141.4cm

14.14 cm

1.1414cm

100√ 2 cm

4 / 30

Category: Math 3

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

. parabola

line

circle

hyperbola

5 / 30

Category: Math 3

sin(θ+270°) is equal to

sinθ

−cosθ

cotθ

tanθ

6 / 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.

5.53 cu mm

4.71 cu mm

6.72 cu mm

3.68 cu mm

7 / 30

Category: Math 3

If sinθ = 1/√2, then θ is

60°

180°

45°

30°

8 / 30

Category: math 4

The range of cos(x) is

R-{x|x = nπ,nεZ}

R-{x|x = (2n+1)π/2,nεZ

[-1 1]

9 / 30

Category: Math 5

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

Decreases from 0 to -1

Increases from 0 to 1

Decreases from 1 to 0

Increases from -1 to 0

10 / 30

Category: Math 3

cotθ is equal to

1/cosθ

sinθ/cosθ

cosecθ

1/tanθ

11 / 30

Category: Math 3

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

8 square units

4 square units

16 square units

2 square units

12 / 30

Category: math 1

A cube has a volume of 1728 cu mm. If the allowable error in the edge of a cube is 0.04 mm, compute the allowable error in the volume of the cube.

16.88 cu mm

17.28 cu mm

15.22 cu mm

20.59 cu mm

13 / 30

Category: Math 5

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

Perpendicular

Non-collinear

Collinear

Opposite

14 / 30

Category: Math 5

The circle which passes through the vertices of a triangle is called

enCircle

InCircle

Circum -Circle

15 / 30

Category: Math 5

Tan (270 + θ) = ………..

tan θ

-cot θ

-tan θ

cot θ

16 / 30

Category: Math 5

Tan (-990 degrees0 ) = ………

∞

- 1

17 / 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…

Minute

Right angle

Degree

Radian

18 / 30

Category: Math 5

‘Sine’ and ‘cosine’ are periodic function whose period is …….

л / 2

4 л

2 л

19 / 30

Category: Math 5

"pi" ‘is the ratio between of the circle

Diameter and arc length

Radius and angle

Diameter & Circumference

Radius & circumference

20 / 30

Category: Math 5

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

Rectangle

Quadrilateral

Triangle

Square

21 / 30

Category: Math 5

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

4th Qd

2nd quadrant

1st Quadrant

3rd Qd.

22 / 30

Category: math 4

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

23 / 30

Category: Math 5

Cot 15= ……………

√3 – 1 / √3 + 1

√3 + 1 / √3 – 1

1 - √3 / 1 + √3 _

1 + √3 / 1 - √3

24 / 30

Category: Math 5

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

√(s – b) (s – c)) / bc

(√(s - a) (s – c)) / ac

(√(s + b) (s – c) )/ bc

(√(s + b) (s + c) )/ bc

25 / 30

Category: Math 3

Two cities whose longitudes are 20°E and 40°W on the equator are ______ km apart

2500km

6702km

2000km

1000km

26 / 30

Category: Math 3

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

27 / 30

Category: Math 5

Two angles θ + Φ are called supplementary angles if θ + Φ = …. degrees.

180

360

270

28 / 30

Category: Math 5

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

Radian

Minute

Degree

Quadrant

29 / 30

Category: Math 5

In 3rd Q. the value of cosines………..

decreases

Constant

Increases

30 / 30

Category: Math 3

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

tan γ

cos γ

−cos γ

sin γ

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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

If ln (ln y) + ln y = ln x, find y’.

b. x/(x-y)

c. y/(x+y)

d. y/(x-y)

x/(x+y)

Category: math 1

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

Category: math 1

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

8x-3

8x-x

4x-3

2x-3

Category: math 1

Find the derivative of y=x^x.

x^x (4-ln x)

x^x (2+ln x)

x^x (1+ln x)

x^x (8+ln x)

Category: math 1

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

2π^(2u)

2π^(2u) ln π

π^(2u)

2u ln π

Category: math 1

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

-1

-2

-1/2

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

6^(3x+2) ln 2

3^(4x+2) ln 2

4^(4x+2) ln 25

2^(4x+2) ln 2

Category: math 1

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

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

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

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

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

Category: math 1

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

3x-3

3x+3

6x+3

6x-3

Category: math 1

Find y’ if y=ln x

1/ln x

1/x

x ln x

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

-18

-21

Category: math 1

If y=x/(x+1), find y’.

1/(x+1)^3

1/(x+1)^2

(x+1)^2

x+1

Category: math 1

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

undefined

1/7

infinity

Category: math 1

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

2x^2/(x+1)

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

x/(x+1)

Category: math 1

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

–y(1-ln xy)/x^2

x/y

–y(1+ln xy)/x

Category: math 1

Find the derivative of y=log_a 4x.

y’=(tan e)/x

y’=(loga e)/x

y’=(sin e)/x

y’=(cos e)/x

Category: math 1

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

Category: math 1

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

infinity

-1

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Mathematics MCQ

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

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

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

Two matrices A and B are multiplied to get BA if

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

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

5 persons can be seated at a round table in

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

An improper fraction can be reduced to proper fraction by

The value of ¹⁰C4 x ⁸C3 is

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

The series obtained by adding the term of arithmetic sequences is called

The geometric mean between a and b is

The 5th term of the G.P 3,6,12,… is

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

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

If x is not a perfect square then √x is

(A n B) n C is same as

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 equal if

1 in polar form can be written as……

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

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

The transpose of a rectangular matrix is a

A fraction in which the degree of the numerator is greater than the degree of the denominator

The 5th term of the G.P 3,6,12,… is

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

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

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

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 sinθ = 1/√2, then θ is

The range of cos(x) is

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

cotθ is equal to

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

A cube has a volume of 1728 cu mm. If the allowable error in the edge of a cube is 0.04 mm, compute the allowable error in the volume of the cube.

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

The circle which passes through the vertices of a triangle is called

Tan (270 + θ) = ………..

Tan (-990 degrees0 ) = ………

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

‘Sine’ and ‘cosine’ are periodic function whose period is …….

"pi" ‘is the ratio between of the circle

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

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

Cot 15= ……………

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

Two cities whose longitudes are 20°E and 40°W on the equator are ______ km apart

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

Two angles θ + Φ are called supplementary angles if θ + Φ = …. degrees.

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

Find the derivative of y=log_a 4x.