Question # 1

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none of these

Number of combination of zero or more things out of n different things

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nPn

nPr

nCr

2n

A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

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A proper fraction

An improper fraction

An equation

An identity

If the roots of x²+ ax + b = 0 are non-real, then for all real x, x²+ ax + b is

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Negative

Positive

Zero

Nothing can be said

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-3

-7

1

0

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45°

30°

75°

60°

The proposition S(n) is true∀n∈N,S(k+1) true when ______is true

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S(1)

Both a & c

S(k)

None

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Which of the following does not represent absolute value of a vector

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magnitude

length

norm

number

A stationary point x is a relative exterma of y= f(x) is

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f′′ (x) > 0

f′′ (x) < 0

f′′ (x) ≠ 0

f′′(x) = 0

The maximum value of 12 sinθ-9 sin²θis x

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3

4

5

None of these

tanθ/2

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(a-1)-1 =

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a-1

a

-a

None of above

Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

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375

500

625

150

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1

0

3

-3

a >b, b >c ⇒a >c is a

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Multiplicative property

Additive property

Trichotomy property

Transitive property of inequality

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If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length

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|u+v|

|u|+|v|

|u-v|

|u|-|v|

The differential equations of all conis whose axes coincide with the co-ordinate axis is

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The feasible region which can be enclosed within a circle is called

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Bounded region

Convex region

Unbounded region

None

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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Associative law of addition

Commutative law of addition

Additive identity

Closure law of addition

Empty set is

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Not the member of real numbers

Infinite set

Finite set

Not subset of every set

Matrix multiplication is

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Commutative

Not commutative

Not associative

Not distributive

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additive property

multiplicative property

additive identity

multiplicative identity

Roots of the equation x²- 7x + 10 = 0 are

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{2, 5}

{-2, 5}

{2,5}

{-2,-5}

The first three terms in the expansion of (1 + x)^-2are ______

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1 - 2x + 3x²

1 - 2x - 3x²

1 + 2x + 3x²

-2 -2x + 3x²

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0

-1

1

2

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