Question # 1

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The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

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The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if

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a≠ b,h≠0

a=b

h≠0

h=0

Which of the following is a quadrantal angle

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30°

45°

60°

90°

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If origin is the mid point of (a,3) and (5,b) then

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

Name the property used in 4 x (5 x 8) = ( 4 x 5) x 8

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Associative property of addition

Associative property of multiplication

Additive identity

Multiplicative identity

The set {-1,1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

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1

2

3

For a square matrix A, if A = At, then A is called

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Matrix

Transpose

Symmetric

Non-symmetric

If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

The second degree equation 2x2 -xy+ 5x -2y +2 =0 represents

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Circle

Hyperbola

Ellipse

Pair of straight lines

The domain and range of a trigonometric function can be allocate by their

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graph

Continuity

Discontinuity

Periods

If Z = (1,2), then Z^-1 =?

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(0.2, 0.4)

(-0.2 ,0.4)

(0.2,-0.4)

(-0.2,-0.4)

5x³+ 3x - is a ______

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Polynomial of degree 3

Polynomial of degree 2

Polynomial of degree 1

Polynomial of degree 0

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If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)

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f

1

C

0

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

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Six boys and 3 girls are to be seated at random, in a row, for a photograph. The probability that no two girls will sit together is

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1/12

1/6

5/12

7/12

∫x/Sin² x dx is equal to:

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x cot x + ln|sin⁡x |

-x cot x - ln|sin⁡x |

x cot x - ln|sin⁡x |

x. tan x- ln|sec⁡x |

w^-1= ______

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0

1

w

w²

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The solution set of trigonometric equation contains

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one element

two elements

three elements

Infinite elements

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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

The angle of depression of a point A on the ground from the top of the tower is 30𝜊,then the angle of elevation of the top of the tower at the point A is

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60𝜊

40𝜊

41𝜊

30𝜊

If for the matrix A,A5 = 1,then A-1=

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A2

A3

A

None of above

The domain of the function y = sin x , is

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-π/2≤ x≤ π/2

π/ ≤ x≤ π

-2π ≤ x≤ 2π

-1 ≤ x≤ 1

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