Question # 1

Sum of n terms of a geometric series if | r | < 1 is

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A = B

B = C

A = C

None of these

If x² + px + 1 is a factor of ax³+ bx +c, then

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a²+ c²= -ab

a²- c²= -ab

a²- c²= ab

None of these

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e-radii are denoted by

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η

r2

r3

All of these

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At

-A

A

A-1

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1

-i

i

0

For any two sets A and, A ⊆ B if

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x ∈ A ⇒ x ∈ B

x ∉ A ⇒ x ∉ B

x ∈ A ⇒ x ∉ B

None of these

Which of the following is the definition of singleton

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The objects in a set

A set having no element

A set having no subset

None of these

Point (2,0) lies on trigonometric function f(x)=______;

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sinx

cosx

tanx

secx

Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

If (2, 3) and (2, 5) are end points of a diameter of a circle, then the centre of the circle is

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(2, 4)

(4, 8)

(0, 2)

(0, -2)

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A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

graph of sine function is bounded between lines

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y± 1 = 0

x± 1 = 0

x± y - 0

None of these

An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

The point (x₁, y₁) lies outside the circle x²+ y²+ 2gx + 2fy + c =0 if

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3/4

-3/4

4/3

-4/3

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x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

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2x cos x2

2sinxcosx

- sin x2

2x sin x2

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

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0

1

2

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Y = -x log x -x + c

Y = x log x + x

Y = x log x - x + c

None of these

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none of these

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

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