Question # 1

Which of the following integrals can be evaluated

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sin (α+β) - sin (α -β) =

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4 cosαsinβ

2 cosαsinβ

4 cosαcosβ

4 sin αsinβ

A point of a solution regions where two of its boundary lines intersect, is called:

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Vertex of the solution

Feasible point

Point of inequality

Null point of the solution region

Number of terms in the expansion of (a+x)ⁿis

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n - 1

n + 1

n + 2

n + 3

G = {e, a, b, c} is an Abelian group with e as identity element. The order of the other elements are

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2, 2, 2

3, 3, 3

2, 2, 4

2, 3, 4

Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is

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2 / 13

4 / 13

5 / 13

8 / 13

The point R dividing externally the line joining the points P(x₁, y₁) and Q(x₂, y₂) in the ratio k₁: k₂has the coordinates

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The area bounded by y = x (x2 - 4) and below x - axis is

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4

0

-4

8

In set builder notation the set {0, 1, 2, ............, 100} can be written as

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The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

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The order of the matrix A is 3 x 5 and that of B is 2 x 3.The order of the matrix BA is

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2 x 3

3 x 2

2 x 5

5 x 2

Sequence also called..............

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Series

Function

progressions

Elements

The negation of a number

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a relation

a function

unary operation

binary operation

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2x

2

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π / 3

π / 4

π / 6

0

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sin h x

cos h x

tan h x

cot h x

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For trival solution |A| is

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A

|A| is non zero

A = 0

None of these

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x³⁹

40x³⁹

40x⁴¹

none of these

If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

If a = 2i +2j, b= 3i -j and c=4i +5j, the 3b -a-2c =

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-i -15j

i-15j

i-3j

None of these

For each natural number n, n (n+1) is

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an even

an odd

multiple of 3

Irrational

sin 540° =

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0

1

2

3

Range of y = sec x is

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-1≤ y≤ 1

y≥ 1 or y≤ -1

y≤ 1or y≥ -1

-∞ < y < +∞

The law of sines can be used to solve

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Right angle triangle

Isosceles triangle

oblique triangle

haxagon

The length of perpendicular from (3,1) to 4x +3y +20 =0 is

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6

7

3

8

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