Question # 1

The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is

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1/5

1/4

1/3

1/2

cos^-1(cos x) =

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x

cos x

x = 1/x

cos^-2 x

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

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For any set B,B∪B' is

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Is set B

Set B'

Universal set

The corner point of the boundary lines, x- 2x

x+2y=10 is:

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(8,1)

(1,8)

(6,10)

(3,5)

The interval in which f(x)=x3-6x2+9x is increasing

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1<x<3

x<1 and x>3

X ≥1 and x ≤ 3

-∞ < x < ∞

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15

15 i

-15 i

-15

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

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3

9

0

The parametric equation of a curve are x = t², y = t³then

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What is the number of elements of the power set of { }

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0

1

2

3

The eccentricity of parabola is:

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1

0

Greater than 1

Less than 1

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

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f(x) = ax + b will be a constant function if

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a = 1 , b = 1

a = 1 , b = 0

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

Three unbiased coins are tossed. Then the probabilities of getting two heads is

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3/8

1/8

1/4

None of these

The general equation of a circle is

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The set which has no proper subset is

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{0}

{}

{∅}

None of these

The points A(+1,-1),B(3,0),C(3,7),D(1,8) are vertices of

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Square

Parallelogram

Rectangle

Trapezium

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

If a,b,c are unit vectors then |a + b|2 +|a - b|2

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4

8ab

9cos

4(a,b)

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2

4

8

16

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a

2a

3a

4a

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0

1

-1

none of these

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cotθ= sin 2θifθ=

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Period of sin x is

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If the vertex of the parabola is the origin and directrix is x+5 = 0 . then its latus rectum is:

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10

5

0

20

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1

0

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1

-1

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