Question # 1

The period sin²θis

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π²

π

2π

π/2

The sum of the cubes of three consecutive natural number is divisible by

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9

6

5

10

An open sentences formed by using the sign of equality '=' is called ______

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An identity

An equation

A polynomial

None of these

In a country 55% of the male population has houses in cities while 30% have houses both in cities and in villages find the percentage of the population that has houses only in villages

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45

30

25

50

The point on y²= 4ax nearest to the focus has its abciassae equal to

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-a

a

a/2

0

The obtuse angle between lines = -2 and y = x +2 is

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120°

135°

150°

140°

The roots of px2 - (p-q)x-q=0 are

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equal

Irrational

Rational

Imaginary

If A is a non singular matrix then A^-1= ______

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6x + 2 + c

6x + x²+ c

6x³+ x²+ x

The additive inverse of a matrix A is

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None of these

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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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1, 2, 3

1, 5, 9

2, 5, 8

3, 6, 9

Period of sin x is

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a = 2, b = 3

a = 3, b = 2

a = 2, b = 1, 2

a = 3, b = 3

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1

0

3

-1

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(2x4)

(2x7)

(2x3)

(7x2)

The tangents drawn from the point P to a circle are real and coincident if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

A sequence is a function whose domain is

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N

Subset of N

R

None of these

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If the lower limit of an integral is a constant and the upper limit is a variable, then the integral is a

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Constant function

Variable value

Function of upper limit

All

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N

r

2r

π

the latus rectum of the parabola x³= -4ay is:

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x = a

y = -a

x = -a

y = 0

202.04 is an example of

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Recurring decimals

Non-recurring decimals

Terminating decimals

None of above

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2π+θwill have terminal side in Quad

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I

II

III

IV

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

The multiplicative inverse of 2/3 is

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3/2

-2/3

-3/2

1

Which is a proper rational fraction

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