Question # 1

The range of the principal sine function is

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If a cone is cut by a plane perpendicular to the axis of the cone, then the section is a

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parabola

circle

hyperbola

ellipse

If n is a positive integer then n! is

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(n - 1) (n - 2) .....3,.2.1

n(n - 1) (n - 2) ...3.2.1

n(n - 1 ) ( n -2) ... 3

None of these

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The multiplicative inverse of -1 in the set {1-, 1} is

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1

-1

0

Does not exist

The set (Z,+) forms a group

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Forms a group w.r.t addition

Non commutative group w.r.t multiplication

Forms a group w.r.t multiplication

Doesn't form a group

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An expression

Rational fraction

Equation

Identity

How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

The real numbers which satisfy an inequality form its

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solution

coefficient

domain

range

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

If the equation x2+2x-3=0 and x2+3x-k=0 have a common root then the non - zero value of k is

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1

3

2

4

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(1,7/3)

(1, 7/5)

(1, 11/7)

(1, 3/5)

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0

1

The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is

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x²+ y²+ z²+ 2 ax +2 by + 2cz = 0

x²+ y²+ z²- 2ax - 2 by - 2cz = 0

x²+ y²+ z²- ax - by - cz = 0

x²+ y²+ z²+ ax + by + cz = 0

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The angle between lines xy =0 is

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45°

60°

90°

180°

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A

0

Unit vector

None

Any point, where f is neither increasing nor decreasing and f(x) = 0 at that point, is called a

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Minimum

Maximum

Stationary point

Constant point

The unit vector along y-axis is

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none of these

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

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quadrant I

quadrant II

quadrant III

quadrant IV

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[0, 0, 0]

[1, 0, 0]

[0, 1, 0]

[0, 0, 1]

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1

2

3

None of these

sin(3π/2 -θ)=_______;

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sinθ

cosθ

-sinθ

-cosθ

The point which divides the line joining the points (2, 4, 5) and (3, 5, -4) in the ratio -2 : 3 lines on

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ZOX plane

XOY plane

YOZ plane

None of these

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all

The solution of the equation 3 tan²x = 1 is ____________

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none of these

The mid point of the line segment joining the points A(-8,3) and B(2,-1) is

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(-3,1)

(-6,2)

(5,2)

(-5,2)

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