Question # 1

Range if y = cos x is

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-1≤ y≤ 1

-1 < y < 1

-∞ < x < +∞

None of these

Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is

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3 / 17

5 / 17

7 / 17

9 / 17

Let the equation ax²- bx + c = 0 have distinct real roots both lying in the open interval (0, 1) where a, b, c are given to be positive integers. Then the value of the ordered triplet (a, b, c) can be

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(5, 3, 1)

(4, 3, 2)

(5, 5, 1)

(6, 4, 1)

Tangent is a periodic function and its period is ______

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2π

3π

π

4π

1 radian = _____

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60°

57.296°

57.2°

180°

The total number of subsets that can be formed out of the set {a, b, c} is

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1

4

8

12

A circle which touches one side of a triangle extermally and the other two sides produced is called

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In-circle

Circumcircle

e-circle

Point circle

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x-axis

y-axis

z-axis

None of these

The period of|sin⁡2x| is

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π/2

-π/2

π

π/3

The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is

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2

1

0

None of these

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A triangle has ____ elements

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3

4

5

6

If x,y are two positive distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

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If the vector 2i + 4j - 7k and 2i + 6j + xk are perpendicular then x = ?

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0

2

4

7

i¹⁰¹ =

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i

i²

-i

-1

A kite flying at a height of 67.2 m is attached to a fully stretched string inclined at an angle of 53 to the horizontal, the length of the string

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62m

82m

73m

57m

The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

(1, 2) is in the solution of the inequality

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2x + y > 8

2x + y < 6

2x - y > 1

2x + 3y < 2

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a f(x) + c

f(x) + a

The perpendicular bisector of any chord of a circle

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Passes through the centre of the circle

Does not pass through the centre of the circle

May or may not pass through the centre of the circle

None of these

6 is

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A prime integar

An irrational number

A rational number

An odd integer

The number of subsets of B = {1,2,3,4,5}

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10

32

16

5

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The law of sines is

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What is the period of 6 sin x=?

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π

-π

π/2

2π

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If b²- 4ac is positive then the roots of the equation are

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Real

Imaginary

Positive

Negative

If a plane passes through the vertex of a cone then the intersection is

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an ellipse

a hyperbola

a point circle

a parabola

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

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an even

an odd

multiple of 3

Irrational

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