Question # 1

If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in

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A. P.

G. P.

H. P.

None of these

The identity element with respect to subtraction is

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0

-1

0 and 1

None of thes

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A parabola

An ellipse

A hyperbola

A circle

For all points (x,y) on x-axis

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x is positive

x is negative

y = 0

y is negative

The identity elements with respect to subtraction is

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0

1

-1

Does not exist

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1

12

5

29

If A is a subset of B and B contains at least one element which is not an element of A, then A is said to be

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Improper subset of B

Super set of B

Proper subset of B

None of these

The general term of a sequence is denoted by

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a₁

a_n

n

s_n

The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is

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50 cm/sec

60 cm/sec

61 cm/sec

None of these

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π / 3

π / 4

π / 2

π

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

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Bounded region

Convex region

Unbounded region

None

The solution of differential equation:

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dy/dx+y/x = x²is :

4xy = x⁴+ c

4x = x⁴= c

4 y = x⁴+ c

4x=4x³ + c

Derivative of x³w.r.t x is

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0

1

3x²

x³

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5

-5

none

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3

2

8

0

An even function is symmetric about the line

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y = x

x = 0

y = -x

y = 0

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none of these

pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

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pqr

1

pq

pqr²

The sum if 1,3,5,7,9........ up to 20 terms is

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400

472

563

264

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A = x, B = 1

A = 0, B = 2

A = -1, B = 1

A = x-1, B = x+1

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quadratic function

constant function

linear function

exponential function

The solution set of x²- 5x + 6 = 0 is

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{1, 3}

{2, 3}

{1, 2}

None of these

(0,1) is in the solution of the inequality

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3x + 2y > 8

2x - 3y < 4

2x + 3y > 5

x -2y < -5

1/3 is ______

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A prime number

An integer

A rational number

An irrational number

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Arithmetic mean between x - 3 and x + 5 is

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x + 1

x + 2

x + 3

x + 4

Area of the circle with ends of a diameter at (-3,2) and (5,-6)

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128π sq. units

64π sq. units

32π sq.units

None of these

The direction cosines of y-axis are

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1, 0, 0

0, 1, 0

0, 0, 1

1, 1, 1

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

The complement of set A relative to universal set U is the set

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{x / x∈ A∧ x∈ U}

{x / x∉ A∧ x ∈ U}

{x / x∈ A and x ∉ U}

A-U

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