Question # 1

The additive inverse of 2/3 is

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3/2

-2/3

-3/2

0

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

A∪(A∪B)= --------------------

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B

A

A∪B

None of these

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A

A'

U

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

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(0,10)

(-8,4)

(-8,-2)

(1,1)

An airplane flying at height of 300 meters above the ground passes vertically above another plane at an instant when the angle of elevation of the two planes from the same point on the ground are 60° and 45° respectively. Then the height of the lower plane from the ground is (in meters).

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The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

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The angle between lines xy =0 is

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45°

60°

90°

180°

a >b, b >c ⇒a >c is a

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Multiplicative property

Additive property

Trichotomy property

Transitive property of inequality

The statement that a group can have more than one identity elements is

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True

False

Ambiguous

Some times true

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There are ______ types of rational fraction

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Three

Four

Five

Two

The identity element with respect to subtraction is

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0

1

-1

Does not exist

x =r cosθ,y= sinθ are the parametric equations of

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Circle

Ellipse

Parabola

Hyoerbola

If the elevation of the sun is 30°, then the length of the shadow cast by a tower of 150 ft height is

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The longer side of a parallelogram is 10 cm and the shorter is 6 cm. If the longer diagonal makes an angles 30° with the longer side, the length of the longer diagonal is

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Which of the following integrals can be evaluated

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tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

The number z so that the triangle with vertices A(1,-1,0),B(-2,2,1)and C(0,2,z) is a right triangle with right angle at vertex C

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1,2

-1,-2

2,-1

-2,1

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1

0

-1

2

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

The equation of the tangent at vertex to the parabola is y2 = -8(x -3)

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y=0

x=3

x=1

x=5

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x-axis

y-axis

z-axis

None of these

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The statement that a group can have more than one identity elements is

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True

False

Fallacious

Some times true

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1/x

-x

2x

0.5 x

(a,b) +(-a,-b) =

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(0,0)

(a,b)

(-a,-b)

(1,1)

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

The series obtained by adding the terms of a geometric sequence is called

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Infinite series

Arithmetic series

Geometric series

Harmonic series

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