Question # 1

Fundamental law is

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If A, G, H are the arithmetic, geometric and harmonic means between a and b respectively then A, G, H are in

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A. P.

G. P.

H. P.

None of these

If c is a constant number and if f is the function defined by the equation f(x) =c for all values of x, then f is differentiable at every x and f is defined by the equation f(x)

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f

1

C

0

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0

1

2

3

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What is the 26th term of the sequence, if its general term is a_{n = (-1)}ⁿ⁺¹

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2

26

27

1

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The nth term of an A.P is (3n+5) Its 75th term is

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26

7

21

Cannot be determined

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The eccentricity of ellipse becomes zero, then it takes the form of:

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a parabols

a straight line

a circle

None of these

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Biconditional

Implication

Antecedent

Hypothesis

The area between the x-axis and the curve y = x² + 1 from x = 1 to 2 is:

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15/6

15/4

10/4

10/3

The number of permutations of n objects of which there are n₁like of one kind, n₂like of the second kind and n₃like objects of third kind are

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There may be ______ feasible solution in the feasible region

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Infinite

Finite

Defined

None of above

The number of proper subset of A ={a.b.c.d} is

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3

6

8

15

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1

2

0

4

Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

If f (x) = |x|, then (0,0) is the

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Critical point

Inflection point

Stationary point

None of these

If a (p + q)²+ bpq +c = 0 and a (p + r)²+ 2 bpr + c = 0, then qr equals

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p²+ c/a

p²+ a/c

p²+ c/a

p²- c/a

3x + 4 > 0 is

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equation

inequality

identity

none of these

The position vector of any point in space is

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The law of sines can be used to solve

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Right angle triangle

Isosceles triangle

oblique triangle

haxagon

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If A is any matrix then its additive inverse is

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A

A^-1

A^t

-A

u,v,wand u x (v.w) are

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Equal

Parallel

Additive immense of each other

Meaningless

The function {f(x,y)|y = ax2 +bx +c} is

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One-one function

Constant function

Onto function

Quadratic function

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

The symbol ______ shall be used both for equation and identity

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2x + 3y > 4 is a linear inequality in

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one variable

two variables

three variables

none of these

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