Question # 1

In triangle the length of the sides are 7, 4√3 and √13. Then the smallest angle is:

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15°

30°

60°

45°

The multiplicative invers of a non-zero real number a is:

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0

-a

a

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3

-3

1/3

-1/3

If tan Θ > 0 and sin Θ < 0 then terminal arm of the angle lies in quadrant:

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I

II

III

IV

A declarative statement which is either true or false but not both is called:

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logic

proposition

induction

deduction

The middle terms of (x+y)²³ are:

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T₁₀,T₁₁

T₁₁,T₁₂

T₁₂,T₁₃

none of these

If 2s = a + b + c, where a, b, c are the sides of a triangle ABC, then area of triangle ABC is given by:

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If s denotes the length of the arc intercepted on a circle of radius r by a central angle of α radians, then:

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s = rα

s = r + α

none of these

The period of sec x is:

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tan (-135°) =

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0

1

√2

cos⁴Θ - sin⁴Θ =

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sin 2Θ

cos 2Θ

tan 2Θ

sec 2Θ

The roots of the equation:

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complex

irrational

rational

none of these

If A = [aij] and B = [bij] are two matrices of same order r × s, then order of A - B is:

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r - s

r × s

r + s

none of these

Sum of all odd numbers between 100 and 200 is:

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6200

6500

3750

7500

In any triangle ABC, law of cosines is:

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A geometric series is convergent only if:

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| r | > 1

| r | < 1

| r | = 1

none of these

One of the roots of the equation 3x2 + 2x + k = 0 is the reciprocal of the other, then k = ...............:

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3

2

1

4

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