Question # 1

If for two events A and B , P(A∪B)=1,then events A and B are

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Certain events

Mutually exclusive

Complementary events

Independent

If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)

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f

1

C

0

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

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2x cos x2

2sinxcosx

- sin x2

2x sin x2

One degree is denoted by

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1⁰

1'

1"

1 rad

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a₁+ a₂

a²₁+ a²₂

Range of cosecθis

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W - {y | -1 < y < 1}

R - {y | -1 < y < 1}

O - {y | -1 < y < 1}

R

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

What is the period of 6 sin x=?

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π

-π

π/2

2π

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If the line 2x -y +k =0 is a diameter of the circle x2 +y2 +6x -6y +5 =0 then k is equal to

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12

9

6

3

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5x^{4 + c}

1/6 x⁶+ c

5x²+ c

1/5 x⁶+ c

The law of sines can be used to solve

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Right angle triangle

Isosceles triangle

oblique triangle

haxagon

∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

The identity element with respect to subtraction is

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0

1

-1

Does not exist

u,v,wand u x (v.w) are

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Equal

Parallel

Additive immense of each other

Meaningless

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The sum of all 2 digit number is

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4750

3776

4895

4905

The vertex of the parabola (xsin a -ycos a)2 =4a(xcos a +ysin a) lies at

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(acos a,asin a)

(a,0)

(cos a,sin a)

(0,0)

n(n - 1) (n - 2) .... (n - r + 1) = ______

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The number of combinations of 10 different objects taken 8 objects at a time is

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90

45

55

50

If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

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

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In-circle

Circum cirle

Escribed circle

None of these

The set {-1, 1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

Range of tanθis

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Set of complex numbers

Set of real numbers

Set of odd numbers

Set of positive integers only

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The condition for ax2 + bx c to be expressed as the product of linear polynomials is

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b4 - 4ac =0

b4- 4ac ≥0

b4- 4ac <0

b4= 4ac

If n∈Z+ then(a+x)n is a/an

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Finite series

Convergent series

Infinite series

Divergent series

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