Question # 1

AB is a vertical pole and C is its middle point. The end A is on the level ground and P is any point on the level ground other than A. the portion CB subtends and angleβat P. If AP : AB = 2 : 1 thenβ=

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If the cutting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is:

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an ellipse

Circle

a hyperbola

a parabola

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If a, b, c are the measures of the sides of a triangle then

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2

-1

8

not defined

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

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1

4

8

12

Range of cosec x is ______

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{-1, 1}

R

Negative real numbers

R - { x | - 1 < x < 1}

The property used in -3 <-2 ⇒0 <1

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Commutative property

Additive property of inequality

Additive inverse

Additive identity

If a,b = 0 then

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a |b

a||b

a = b

None

The set Q

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Forms a group under addition

Does not form a group

Contains no additive indentity

Contains no additive inverse

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The slope of x-axis is

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0

undefined

1

The angle between the vectors u = [-3 , 5] and v = [6 , -2] is:

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π/2

-3π/2

π

None of these

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Rational

Irrational

Non-real

Zero

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2^x

2^xIn x

2^xIn 2

If z1 = 2 + 6i and z2 = 3 + 7i then which expression defines the product of z1 and z2

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36 +(-32)i

-36+32i

6+(-11)i

0, +(-12)i

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The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are 60^οand 30^οrespectively. The the ratio of the heghts of the tower is

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2 : 1

3 : 1

1 : 2

1 : 3

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√-1 b=

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b

2

2b

None of these

The sum of infinite numbers of terms of an arithmetic series is

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Finite

Infinite

May or may not finite

None of these

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

Any horizontal line divided the plane into

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Left half plane

Upper and lower half planes

Infinite number of horizontal liens

None of these

If A and B are two disjoint events then

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P(A∪B)=P(A)+P(B)

P(A∪B)=P(A)-P(A∪B)

P(A∪B)=P(A)or P(B)

None

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-1

0

2

1

Sin 90° = ______

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-1

0

1

Undefined

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For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

Associative law of multiplication

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ab = ba

a(bc) = (ab) c

a(b+c) = ab + ac

(a + b)c = ac + bc

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