Question # 1

cos(a +β)-cos(a-β) = _______;

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2cosa cosβ

2sina cosβ

-25 in a cosβ

-2sin a sinβ

The domain of an infinite sequence is a

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Set of natural numbers

R

Subset of N

None of the above

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

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Tangent is ...............function

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Inverse

one-one

in-to

Periodic

The equation of the circle witch centre (-3, 5) and radius 7 is

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(x-3)²+ (y+5)²= 7²

(x-3)²+ (y-5)²= 7²

(x+3)²+ (y+5)²= 7²

(x+3)²+ (y-5)²= 7²

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30°

45°

60°

90°

The sum of the squares of three distinct real numbers, which are in G.P., is S². if their sum isαS then

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tan 294° =______;

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tan 24°

-tan 24°

cot 24°

-cot 24°

If x, y, z are the pth, qth, rth terms of an A.P. and also of G.P., then x^y-z. y^z-x. z^x-yeqals

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xyz

0

1

None of these

A function whose range is just one element is called

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One-one function

Constant function

Onto function

Identity function

If one end of the diameter of the circle x² + y²- 5x = 3y -22 = 0 is (3,4) the other end is:

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(2,7)

(-2,-7)

(-2,7)

(2,-7)

∀x,y∈R and x> 0 , y>0, if x > y

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None of these

The second degree equation of the form Ax2 +By2 +Gx +Fy +C =0 represent hyperbola if

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A = B≠ 0

A≠ B and both are of same sign

A≠ B both are of opposite sign

Either A = 0 or B =0

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7

5

6

None of these

f(x) = sin x is:

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an odd function

an even function

an implicit function

an exponential function

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

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2 b

2 a

2 ab

a + b

If n(A) = n then n(P(A)) is

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2n

n²

n/2

2ⁿ

The set X is

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Proper Subset of X

Not A subset of X

Improper Subset of X

None of these

If | x | < 1, then the first two terms of (1 - x)^1/2are

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e-radii are denoted by

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η

r2

r3

All of these

A circle passing through the vertices of any triangle is called ______

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In circle

Circum circle

Escribed circle

None of these

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The law of sines can be used to solve oblique triangle when following information is given:

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Two angles and a side

Two sides and an angle opposite one of the given sides

Two sides and the angle between two sided

Option a and b

If 4 - x >5, then

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x > 1

x > -1

x < 1

x < -1

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