Question # 1

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π

π / 2

π / 3

π / 4

Z is the set of integers (Z.*) is a group with a * b = a +b +1, a,b ∈ G.then inverse of a is

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-a

a +1

-1-a

None of these

The two different parts of the hyperbola are called its

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Vertices

Directrices

Nappes

Branches

A ________ divides the plane into left and right half planes.

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Vertical line

Horizontal line

Non vertical line

Inequality

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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Closure law of addition

Associative law of addition

Commutative law of multiplication

Associative law of multiplication

The largest possible domain of the function:

y=√(x ) is:

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(0 ,∞)

12

(3 , 12)

( 3 ,∞)

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π / 3

π / 4

π / 6

0

If A and B are skew-symmetric then (AB)t is

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At Bt

AB

-AB

BA

If S is a sample space and event set E =Φ then P(E) is

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>0

1

<1

0

Every real number is

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A complex number

A rational number

A natural number

A prime number

If sinθ = 1 then θ =

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2nπ +π/2

2nπ

2π +n

Nπ +π/2

The perpendicular bisector of any chord of a circle

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Passes through the center of the circle

Does not pass through the center of the circle

May or may not pass through the center of the circle

None of these

If α and β be irrational roots of a quadratic equation, then

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α = b/a and β = ca

α = a/b and β = -c/a

α² + β² = 1

α = -b/a and β= c/a

The vertices of the ellipse x² + 4y² = 16 are

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(±,4,0)

(0,±,4)

(± 2,0)

(0,± 2)

The parametric equation of a curve are x = t², y = t²then

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dy/dx =3t/2

dy/dx =t⁵

dy/dx =5t⁴

None

d/dx [cos x²] =________

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-2x cos x²

-2x² sin x²

x² sin x

-2x² sin x²

√23 is

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A rational number

A irrational number

An even integer

A factor of 36

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

If A and B are matrices of same order than (A + B)(A + B)=

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addition

multiplication

subtraction

None

If x < y, 2x = A and 2y = B then

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A =B

A < B

A< X

B < y

The set {1, -1, i, -i}, form a group under

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addition

multiplication

subtraction

None

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