Question # 1

The number of triplets (x, y, z) satisfying sin^-1x +cos^-1y + sin^-1z = 2π is

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0

2

1

Infinite

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The mid point of the line segment joining the points A(-8,3) and B(2,-1) is

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(-3,1)

(-6,2)

(5,2)

(-5,2)

Let S_ndenote the sum of the first n terms of an A.P. If S_2n= 3 S_n: S_nis equal to

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4

6

8

10

The set { 1 , -1} is closed w.r.t.

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Addition

Multiplications

Subtraction

None of these

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

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73 / 120

83 / 120

67 / 120

43 / 120

In the interval 0≤ x ≤ π, the sine is

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Not a function

Not defined

Infinity

Not one-to-one function

The distance of the point (1.1) from the origin is

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0

2

Which one is quadrantal angle

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8181710°

2345°

-8181180°

-2344°

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0

1

-1

If cosα= 4/5, then cosα/2

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What is the period of 6 sin x=?

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π

-π

π/2

2π

The identity element of a set X with respect to intersection in P(x) is

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X

Does not exist

∅

None of these

Every subset of a finite set is

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Disjoint

Null

Finite

Infinite

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

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p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

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If f(x)= x³ then f(-2) is

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-2

-4

-8

8

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0

1

There is no integer n for which 3ⁿis

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Odd

even

Natural

Prime

Inequalities have ______ symbol

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2

3

4

1

2/9,5/7∈ R,(2│9)(5│7)=10/63∈R this property is called

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Associative property

Identity property

Commutative property

Closure property w.r.t multiplication

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Period of sin x is

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Optimal solution is found by evaluation the objective function at

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All point of feasible region

Corner point

Origin

None

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

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260

356

410

96

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0

-1

1

2

A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of the sun of the moment is

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57𝜊

-48𝜊

27𝜊

53𝜊

an -an-1,∀n∈N∧n>1 in an A.P is called

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Common difference

nth term

Common ratio

None of these

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