Question # 1

If P, Q, R be the A.M., G.M., H.M. respectively between any two rational numbers a and b, then P - Q is

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s > t then

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(s - t)²> (t - s)²

(s - t)²< (t - s)²

(s - t)²= (t - s)²

None

A number A is called the arithmetic mean between a and b if a, A, b is ______

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Arithmetic sequence

Geometric sequence

Harmonic sequence

Arithmetic sequence

The st. lines whose direction cosines satisfy al + bm + cn = 0, fmn + gnl + hlm=0 are perpendicular if

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additive property

multiplicative property

additive inverse

additive identity

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{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

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none of these

The feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

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The equation |x + 4| = x has solution

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x = -2

x = 2

x = -4

x = 4

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1/8

1/2

1/4

1/6

A fraction in which the degree of the numerator is less than the degree of the denominator is called

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Polynomial

Equation

Proper fraction

Improper fraction

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A

0

Unit vector

None

The period of the trigonometric function y = sin x cos x is

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2π

π

4π

π / 2

If in a set of real no a is additive identity then

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a+a = 2a

a+a = 1

a+a = 0

None of these

If f (x) = |x|, then (0,0) is the

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Critical point

Inflection point

Stationary point

None of these

One second is denoted by

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1⁰

1'

1"

1 rad

A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP²+ CQ²+ CR²+ CS²=

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r²

2 r²

3 r²

4 r²

The identity element with respect to subtraction is

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0

-1

0 and 1

None of thes

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The sum even binomial coefficient of (3+2x)5 is ______term

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16

30

8

32

The different of tan x is

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sec2 x

ln |sec x|

sec2 xdx

-cos ec2 x

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

The roots of the equation ax²+ bx + x = 0 are real and distinct if

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b²- 4ac <0

b²- 4ac = 0

b²- 4ac > 0

None of these

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1

0

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