Question # 1

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are real no

both are not real

are imaginary no

both are imaginary

An infinite arithmetic series is always

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Convergent

Oscillatory

Divergent

None of these

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The point of concurrency of the angle bisectors of a triangle is called

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incentre

circumcentre

e-centre

centroid

If the angle between two vectors u and v is 0 orπ, then the vectors u and v are:

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Orthogonal

Collinear

Perpendicular

None of these

For the equation |x²| + |x| -6 =0, the roots are

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One and only one real number

Real with sum one

Real with sum zero

Real with product zero

The unit vector along z-axis is

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none of these

Domain of 3 sin x is ______

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[-3, 3]

R

Positive real numbers

None of these

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The equation of the circle with centre (h, k) and radius r is

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(x+ h)²+ (y+ k)²= r²

(x+ h)²+ (y - k)²= r²

(x - h)²+ (y+ k)²= r²

(x - h)²+ (y - k)²= r²

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

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π/ 2

π/ 3

π/ 4

π

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I

|A|

|A| I

None of these

The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

The integral of 3x⁵dx is:

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15 x⁴

x⁶/2

1/6x⁵

x⁵/ln3

For Cosine Rule of any triangle ABC, b²is equal to

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a²- c²+ 2ab cos A

a³+ c³- 3ab cos A

a²+ c²- 2ac cos B

a²- c²4bc cos A

If f(x)= x³ then f(-2) is

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-2

-4

-8

8

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0

1

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I quadrant

II quadrant

III quadrant

IV quadrant

If f(x) = (-x)²then f(-2) is

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0

2

-4

4

Three unbiased coins are tossed. Then the probabilities of getting two heads is

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3/8

1/8

1/4

None of these

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An empty set

Universal set

A singleton set

None of these

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

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3

1

2

4

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3 x 1

1 x 3

3 x 3

1 x 1

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

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