Question # 1

Any whole number can be written as a product of factors which are

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Even number

Odd numbers

Prime number

Rational number

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If z₁ = (a,b), z₂=(c,d), then z₁ z₂ = -------------------

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(ac,bd)

(ac+bd, ad-bc)

(ac-bd , ad+bc)

(ac-bd , ad-bc)

If n is any positive integer ,t hen 2+4+6+......+2 n=

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2ⁿ-1

2ⁿ+1

n²+1

n(n+1)

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

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Derivative of x³w.r.t x is

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0

1

3x²

x³

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a.a^-1= a^-1.a = 1 is a

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Commutative law of multiplication

Multiplication identity

Associative law of multiplication

Multiplication inverse

Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is

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9028

9208

9802

9820

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The set of first elements of the ordered pairs in a relation is called its

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domain

range

relation

function

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Only one real solution

Exactly three real solution

Exactly one rational solution

Non-real roots

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1

-1

0

I

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If the cutting plane is slightly tilted and cuts only one nappe of the cone, the intersection is

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an ellipse

a hyperbola

a circle

a parabola

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The multiplicative inverse of 1 is

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1

-1

0

Does not exist

The domain of the function y = sin x , is

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-π/2≤ x≤ π/2

π/ ≤ x≤ π

-2π ≤ x≤ 2π

-1 ≤ x≤ 1

For f(x) = x2, what is the value of f(a) +f (-a) in terms of a?

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3a2

2a2

2a

-7a

The 26th term of the A.P -2,-4,10,.............is

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136

-136

148

-148

The general term of the A.P. is

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a₁+ (n - 1) d

n + (a₁- 1) d

d + (n - 1) a₁

None of these

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An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

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The set of complex numbers forms a group under the binary operation of

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Addition

Multiplication

Division

Subtraction

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

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The proposition S(n) for any n∈ N is only true if k∈ N and

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S(k +1) is true

S(1) is true and S(k+1) is true whenever S (k) is true

S(k+1) is true whenever S (k) is true

S(k) is true

If a force F = 2i + j +3k acts at point (1,-2,2) of a body then the moment of F about a pint lying on the line of action of the force is

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5

Equal to the moment of the force about origin

0

Cannot be found

If z₁= 2 + 6i and z₂= 3 + 7i, then which expression defines the product of z₁and z₂?

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36 + (-32)i

-36 + 32i

6 + (-11)1

0, +(-12)i

The difference of two consecutive terms of an A.P. is called ______

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General term

Common ratio

Common difference

None of these

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