Question # 1

The coefficient of the third term of (8a-b)^1/3, after simplification is

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-228

1/288

1/220

-1/177

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{1, 2, 3} is _____

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an infinite set

A finite set

A singleton set

Universal set

The value of x, and y, when (x + iy)²= 5 + 4i

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X = 2, y = 1

X = -2, y = 1

X = 2, y = -1

X = 2, y = 2

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Power set of X i.e P(X) _______ under the binary operation of union U

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Forms a group

Does not form a group

Has no identity element

Infinite set although X is infinite

In-radius is denoted by

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r

η

r2

R

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N

r

2r

π

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If distance of (a,b) from x-axis is 2 then

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a = 2

b = 2

a = b

b = 4

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0

1

1/2

n(n-1)(2n-1), for all natural numbers n, is divisible by

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12

6

2

18

Let A,B and C be any sets such that A∪B = A∪C and A∩ B = A∩ C then

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A = B

B = C

A≠ C

A ≠ B

csc(-π/2) = __________;

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0

1

-1

Undefined

To each element of a group there corresponds ______ inverse element

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Two

One

No

Three

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A

-A

A^t

A^-

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direction ratios

direction cosines

direction angles

none of these

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Principle of equality of fractions

Rule for product of fractions

Golden rule for fractions

Rule for quotient of fractions

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4(x³- 3x²)³+ c

3x²- 6x + c

Which of the following is a vector.

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work

time

density

electric field

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cosec x + c

-cosec x + c

-sec x + c

sec x + c

If x - 1 is a factor of x4 - 5x2 + 4 then other factor is

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(x + 2)2(x - 1)

(x + 2)(x - 1)2

(x+2)(x2- x- 2)

(x + 2)2(x - 1)2

Area of the triangle whose vertices are (2,3),(0,1),(0,0) is

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6

2

4

1

If there is one-one correspondence between A and B, then we write.

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A = B

A⊆ B

A⊇ B

A ∼ B

The area under the curve y = 1/x² between x = 1 and x =4 is:

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-25

0.75

-0.35

-10

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 the graph of f is entirely below the x-axis, then the value of definite integral is

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= 0

< 0

> 0

None

Period of cos x is _____

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