Question # 1

The set {x|x∈N∧x-4=0} in tabular form is

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{-4}

{0}

{}

None of these

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Lies between 4 and 7

Lies between 5 and 9

Has no value between 4 and 7

Has no value between 5 and 9

The only function which is both even and odd is

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f(x) =α

f(x) = x

f(x) =0

Both A & B

For what value of k, 3x -2y+ k= 0 is tangent to the circle x2 +y2 +6x -4y =0

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k=0

k=0 or 26

k = 26

k=-13

A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is

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2 / 13

4 / 13

5 / 13

8 / 13

The negation of given number is a

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Binary operation

Unary operation

Relation

None of these

If a +b +c =0 then which of the following is true

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a =b =c =0

a,b =b,c =c,a

a xb=b xc =c xa

None

The angle between lines xy =0 is

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45°

60°

90°

180°

Through how many radians does the minute hand of a clock turn in one hour

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none of these

The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

The fifth term of an A.P. Whose first term is 5 and common difference is 3,is

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20

17

25

30

If f(α) = b2 and g (c) =d where c=b2 then (gof)(a) is

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α

c

b

d

The equation of the normal to the circle x²+ y²= 25 at (4, 3) is

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3x - 4y =0

3x - 4y =5

4x + 3y = 5

4x + 3y = 25

A sequence is a function whose domain is

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N

Subset of N

R

None of these

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0

abc

1/abc

None of these

Every relation, which can be represented by a linear equation in two variables, represents a

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Relation

Cartesian product

Function

Graph

If a = {2m/2m < 9 ,m€ p} , the (n A) =

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{2,3,4,5,6,7,8}

{2,4,6,8............16}

{ 4, 6}

{2,3,5,7}

Ifα,β are non-real roots of ax2 + bx +c =0 (a,b,c∈ Q),then

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α = β

αβ = 1

α = β

α = 1

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

The mid point of the line segment joining the points A(3,1) and B(-2,-4) is

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(1, -3)

The harmonic mean between a and b is

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Given two numbers a and b. Let A denote the single A.M. between these and S denote the sum of n A.M.'s between them. Then S/A depends upon

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n, a, b

n, a

n, b

n

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a = -1/2, b = -1

a = 1, b = 2

a = 2, b = 3

None of above

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The number of non zero rows in echelon form of a matrix is called

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Order of matrix

Rank of matrix

Row operation

None of these

If f(x) = x³- 2x²+ 4x -1 then f(2) is

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7

-16

16

-9

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{x|x∈R∧x≠x} is a

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Infinite set

Null set

Finite set

None of these

p, q, r and s are integers. If the A.M. of the roots of x2- px + q2= 0 and G.M. of the roots of x2- rx + s2= 0 are equal, then

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q is an odd integer

r is an even integer

p is an even integer

s is an odd integer

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