Question # 1

If n is odd then the middle terms in the expansion of (a + x)ⁿare

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Sec^-1x =

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Cos^-11/x

cosec^-11/x

Cos^-1(-x)

Tan^-1x

If A = {2m/m³= 8 , m€ Z} then A =

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{1,8,27}

{4}

(2,4,6}

{2,16,54}

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

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1700

17023

17027

17010

The polynomial x - a is a factor of the polynomial f(x) if and only if

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f(a) is positive

f(a) is negative

f(a) = 0

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

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If the roots of ax²+ bx + c =0 are equal in magnitude but opposite in sign, then

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a = 0

b = 0

c = 0

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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an A.P.

a G.P.

a H.P.

None of these

Which of the following is the definition of singleton

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The objects in a set

A set having no element

A set having no subset

None of these

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(1, 3)

(-1, -3)

(1, -3)

(-1, 3)

An A.P., a G.P. and a H.P. have the same first and last terms and the same odd numbers of terms, the middle terms of the three series are in

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A.P.

G.P.

H.P.

None of these

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perpendicular vectors

concurrent vectors

parallel vectors

none of these

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The number of real tangents that can be drawn to the ellipse 3x²+ 5y²= 32 passing thro. (3, 5) is

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0

1

2

Infinite

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

Which of the following is a factor of x³- 3x²+ 2x - 6

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x + 2

x + 3

x - 3

x - 4

cotθ= sin 2θifθ=

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A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

If in the expansion of (1+x)ⁿ, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=

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4

5

6

7

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The value of i⁴ⁿ⁺¹

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1

-1

i

i²

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- cos x

sin x

- sin x

sec x

The end points of the major axis of the ellipse are called its

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Foci

Vertices

Co - vertices

None of these

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[0,1[

[0, 1]

]0, 1[

None of these

Q∪ Q' =

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Q

Q'

N

R

w¹¹= ______

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0

1

w

w²

The period of sin x/2 = Cos x/3 is

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2p

12p

13p

7p

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