Question # 1

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

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The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

If origin is the mid point of (a, -3) and (-5, b) then

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a = -5 , b = -3

a = 5 , b =3

a = -5 , b = 3

a = 5 , b = -3

If a, b, c are in A.P., then 3^a, 3^b, 3^care in

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A.P.

G.P.

H.P.

None of these

a chord passing through the focus of a parabola is called a:

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Focal chord

Latus rectum

Tangent

Directrix

Which is not included in the domain of cos^-1x

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0

1

-1

2

If the function y=2x -3, what is the preimage of 11?

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11

7

5

2

cos h²x + sin h² x

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an even function

an odd function

an even and implicit function

neither even nor a odd

The conic ax2+2hxy+by2+2gx+2fy+c= 0 never represent a circle if

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a≠ b,h≠0

a=b

h≠0

h=0

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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

What is the period of cos 6x =?

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π/2

π/3

π/4

π

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If a > 0, b > 0, c > 0, then the roots of the equation ax²+ bx + c = 0 are

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Real and negative

Non-real with negative real parts

Real and positive

Nothing can be said

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a²b²c²

4a²b²c²

4abc

None

∫sin(ax+b) dx is equal to:

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1/2a cos (ax + b)

-1/a cos (ax +b)

1/a cos (ax +b)

1/a ln (ax + b)

With usual notations b2 = a2 + c2 -2ac cos is called______;

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None of these

Law of sines

Law of consines

Law of tangents

The equation of the circle with centre (-h, -k) and radius r is

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(x +h)²+ (y+k)²= r²

(x +h)²+ (y-k)²= r²

(x -h)²+ (y+k)²= r²

(x -h)²+ (y-k)²= r²

If E = { } , then P(E)

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∅

{ }

{(2),(4),(6)....}

(∅)

n different objects can be arranged taken all at a time in ______

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(n + 1)! ways

(n - 1)! ways

n! ways

n ways

√11 is

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an irrational number

Rational number

odd number

Negative number

The distance of the point (2, -3) from x-axis is

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-2

-3

2

3

The centroid of a triangle divides each median in the ratio

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2 : 1

3 : 1

3 : 2

1 : 1

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c = 0

c = -1

c = -2

c = 1

(A∪B)∪C= --------------------------

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A∩B(B∪C)

A∪(B∪C)

A∪(B∩C)

None of these

If a = {2m/2m < 9 ,m€ p} , the (n A) =

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{2,3,4,5,6,7,8}

{2,4,6,8............16}

{ 4, 6}

{2,3,5,7}

In a triangle ABC, if angle A = 72° , angle B = 48° and c = 9 cm then Ĉ is

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69°

66°

60°

63°

The solution set of sin x + cos x = 0 is

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The set {{a,b}} is

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Infinite set

Singleton set

Two points set

None

The area of a sector with central angle of 0.5 radians in a circular region whose radius is 2m is

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Which of the following is not a solution of system of inequalities 2x- 3y ≤6,2x +y≥ 2,x +2y≤ 8, x≥ 0,y ≥ 0

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(1,0)

(0,4)

(3,0)

(8,0)

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