Question # 1

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none of these

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

8 . 7 . 6. 5 in factorial form is

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The equation of vertical asymptotes of y = cos ecx is

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x = 0

y = 0

x =∞

y =∞

The Domain of y = sin x is ______

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Set of real numbers

Rational

Irrational no.

None of above

cos^-1(cos x) =

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x

cos x

x = 1/x

cos^-2 x

If A = |aij| is (m x n) matrix then transpose of A is of the order

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m x m

m x n

n x n

n x m

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The inclination of a line parallel to y-axis is

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If T = {2,4,6,8,10,12}, then

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T = (First six natural numbers)

T = (First six odd numbers)

T = (First six real numbers)

T = ( First six even numbers)

The angle of elevation of a tower from a point A due south of it is x and from a point B due east of A is y. If AB = 1, then the height h of the tower is given by

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Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

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0

-1

1/2

1

Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then

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α = β

αβ = 1

α = β

α = 1

The matrix A = [aij]1xn is a

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Vector

Rectangular matrix

Column vector

Square matrix

The proposition S(n) for any n∈ N is only true if k∈ N and

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

1/3 is ______

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A prime number

An integer

A rational number

An irrational number

The direction cosines of any normal to the xy-plane are

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<1, 0, 0>

<0, 1, 0>

<1, 1, 0>

<0, 0, 1>

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(3, 1, -2)

(3, -2, 1)

(2, -1, 3)

(-1, -2, -3)

Any horizontal line divided the plane into

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Left half plane

Upper and lower half planes

Infinite number of horizontal liens

None of these

For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

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Associative law of multiplication

Commutative law of addition

Commutative law of multiplication

Associative law of addition

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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 equation of the circle witch centre (-3, 5) and radius 7 is

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(x-3)²+ (y+5)²= 7²

(x-3)²+ (y-5)²= 7²

(x+3)²+ (y+5)²= 7²

(x+3)²+ (y-5)²= 7²

64.A point (x, y, z) moves parallel to xy plane. Which of the three variables x, y, z remain fixed?

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z

x

y

x and y

At a point 15 meters away from the base of a 15 meters high house, the angle of elevation of the top is

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90°

60°

30°

45°

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Rule of quotient of fraction

Golden rule of fraction

Rule for product of fraction

Principle for equality of fraction

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