Question # 1

The period of the function f(x) = sin⁴x + cos⁴x is

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π

π/2

2π

None of these

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = -1

X = -2, y=1

X = 2, y = -1

X = 2, y = 2

Trival solution of homogeneous linear equation is

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(0, 0, 0)

(1, 2, 3)

(1, 3, 5)

a.b and c

The distance of the point (2,-3) from y-axis is

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2

-3

1

5

In quadratic equation, if the replacement of y with -y leaves the equation unchanged, then the graph is

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Straight line

Circle

Hyperbola

Symmetric w.r.t.0

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

The number of terms in the expansion of (a + b)⁹is

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10

11

9

12

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

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How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

If x³+ ax²- a²x - a³is divided by x + a, then the remainder is

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0

a³

2a³

-2a³

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The law of consines is

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The formula an = a +(n-1)d for an A.P is called

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nth term of an A.P

Sum of first n terms

A,M between a and b

None of the above

The set of whole numbers is subset of

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The set on integers

The set of natural numbers

{1, 3, 5, 7, ....}

The set of prime numbers

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360°

180°

90°

None of these

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

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0

1

-2

10

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a²b²c²

4a²b²c²

4abc

None

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0

1

Z is the set of integers, (z, *) is a group with a * b = a + b + 1, a, b∈G. then inverse of a is

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-a

a + 1

-2 -a

None of these

The line through the focus and perpendicular to the directrix is called ______ of the parabola

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axis

focal chord

tangent

latus rectum

If d₁is the distance between (0,0) and (1,2) and d₂is the distance between (0,0) and (2,1) then

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d₁= d₂

d₁<d₂

d_1>d₂

none of these

tan(π-θ)=_____;

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tanθ

cotθ

-tanθ

-cotθ

πis the period of the function

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|sin x| + |sin x|

sin⁴x + cos x

sin (sin x) + sin (cos x)

None of these

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If A is a set then any subset R of A x A is called

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relation on A

relation on B

relation from A to B

relation from B to A

If f(√x)=sin x , then f′(x) =______;

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2xcosx2

cosx2

cos√x

None of these

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