Question # 1

{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

If in a set of real no a is additive identity then

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a+a = 2a

a+a = 1

a+a = 0

None of these

y=-a is the equation of the directrix of

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y2 =4ax

x2=-4ay

x2=4ay

y2=-4ax

The solution set of the inequality ax + by < c is

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straight line

half plane

parabola

none of these

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2x

2

In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=

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12

n=14

17

n=15

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

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d₁< d₂

d₁> d₂

d₁= d₂

none of these

The set of natural numbers is a subset of

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{1, 2, 3, .... 100}

The set of whole numbers

{2, 4, 6, 8, .....}

None of these

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What is the circular measure of the angles between the hands of which at 4 o clock

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π/6

3π/2

π/4

2π/3

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If B⊆ A, then complement of B in A is = -----------------------

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A-B

A∩B

B-A

A∪B

The line Ax + By + C = 0 will touch the circle x²+ y²=λ when

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C²=λ(A²+ B²)

A²=λ(A²+ C²)

B²=λ(A²+ C²)

None of these

If (0,4) and (0,2) are vertex and focus of the parabola respectively, the the equation of the parabola is:

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x² = 4y -32

x² =8y -32

y³ = 16 x

x2 + 8y =32

The number of triplets (x, y, z) satisfying sin^-1x +cos^-1y + sin^-1z = 2π is

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0

2

1

Infinite

H₁, H₂, H₃, .... H_nare called n harmonic means between a and b if a, H₁, H₂, H₃, ... H_nb are in

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H.P.

G.P.

A.P.

None of these

A function which is to be maximized or minimized is called an

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Explicit function

Implicit function

Objective function

None

Roots of the equation x²+ 7x + 12 = 0 are

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{3, -4}

{-3, 4}

{3, 4}

{-3, -4}

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0

1

2

3

The sum of an infinite geometric series exist if

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| r | < 1

| r | > 1

r = 1

r = -1

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For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

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-8

8

8i

32

If Z₁ = 1+ i, Z₂ = 2+3i , then |Z₁ -Z₂| =?

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√5

√7

-1-2i

√3

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The no of term is the expansion of (a+x)n-1 is

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n+1

n-1

n

n-2

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