Question # 1

The series obtained by adding the terms of an arithmetic sequence is called the

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Infinite series

Harmonic series

Geometric series

Arithmetic series

Tan^-11/x = ______

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sin x

sec^-1X

cot^-1X

None of these

The value of x which is unchanged by the mapping in the function defined by f ; x⟶ x² + 5x -5 for x> 0 is

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1

5

-5

-1

Both the roots of the equation (x -b) (x - c ) + (x -c) (x-a) +(x-a) (x-b) = 0 are always

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Positive

Negative

Real

None of these

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The domain of the principal tan function is

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The directrix of y2 =-4ax is

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y =-a

y = a

x = a

x = -a

1 + 2 + 3 + ...... + n = ______

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The function whose range consists of just one element is called

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One-One Function

Identity Function

Onto Function

Constant Function

The distance of the points (3, 4, 5) from y-axis is

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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

If A is a skew-symmetric matrix of order n and P, any square matrix of order n.prove that P' AP is

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Skew-symmetric

Symmetric

Null

Diagonal

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3

2

8

0

The set of months in a year beginning with S.

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{September, October, November}

Singleton set

Null set

Empty set

If you are looking a bird in the tree from the ground then the angle formed is called angle of______;

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Elevation

Depression

Right angle

None of these

If f(x) = x²then f(-2) is

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-2

2

4

-4

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Associative property of addition

Associative property of multiplication

Commutative property of addition

Commutative property of multiplication

If P is a proposition then its negative is denoted by

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The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

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2x + 3

x²+ 3 + c

If the cone is cut by a plane perpendicular to the axis of the conec, then the section is a:

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Circle

ellipse

hyperbola

parabola

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4

3

2

1

Vector additon is:

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Commutative

Associative

Commutative and Associative

None of these

Cos-1 (-x) =

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-x

1/x

tan-1 x

π-cos-1 x

If the flag-staff 6 meters high placed on the top of a tower. Makes the shadow 2√3 m on the ground, then the angle of elevation of the sun is

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30^ο

35^ο

45^ο

60^ο

If sin A = cos A, 0°<A<90° then A is equal to

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1

1/2

0

None of these

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both a & c

Range of sin x is ______

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[-1, 1]

R

Negative real numbers

None of these

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