Question # 1

The line y= 4x +c touches the hyperbola x2- y2 =1 if and only if

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c =±√2

c =0

c=±√17

c=±√15

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The probability to get an odd number in a dice thrown once is

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1/2

1/6

1/3

2

The sample space for tossing a coin twice is

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{H, T}

{HH, HT, TH, TT}

{H, T, HH}

{HH, HT, TT}

Ifᵨ> 1 , then the conic, is:

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Ellipse

Parabola

Hyperbola

None of these

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360°

180°

90°

None of these

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Linear equation

Quadratic equation

Cubic equation

None of these

The function ø(x) is ananti derivativeof function f (x),x∈Df if

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ø′(x) =∫f(x)dx

ø(x) =∫f(x)dx

ø′(x) =f(x)

ø(x) =∫′(x)dx

If|a| =|b|=|a + b|=1, then|a+ b| = 5, then|a-b| =

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4

6

5

3

The range of inequality x + 2 > 4 is

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(-1, 2)

(-2, 2)

(1,∞)

None

The number of subsets of B = {1,2,3,4,5}

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10

32

16

5

The lines that form the cone are called its:

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Generation

Circular cone

nappes

conics

Domain of sinθis

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Set of real numbers

Set of complex numbers

Set of natural numbers

Set of even numbers

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

f(x) = C is

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identity function

constant function

linear function

quadratic function

x²+ x - 6 = 0 is

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An equation

An identity

A polynomial

None of these

The set R is ........w.r.t subtraction

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Not a group

A group

No conclusion drawn

Non commutative group

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

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I andII quadrants

II andIII quadrants

III andIVquadrants

none of these

(a^-1)^-1=

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a^-1

a

-a

None of above

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 centre of the conic x2 +16x +4y2 -16y +76 =0 is

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(0,10)

(-8,4)

(-8,-2)

(1,1)

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If A∩B=B, then n(A∩B) is equal to

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n(a)

n(a)+n(c)

n(c)

None of these

The point which is closet to the focus of a parabola is:

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vertex

Chord

Focus

Directix

Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

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0

-1

1

2

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16 / 7

6 / 17

7 / 16

None of these

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