Question # 1

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none of these

f(x) = 3x/x² + 1 is:

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an even function

an odd function

an even and implicit function

neither even nor a odd

In the expansion of (a + x)ⁿthe sum of exponents of a and x in each term of the expansion is

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n + 1

n - 1

n

2n

If all members of a sequence are real numbers then it is called a

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Series

Function

Real sequence

Range

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1

-1

pth term of an H.P. is qr and qth term is pr then the rth term of the H.P. is

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pqr

1

pq

pqr²

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1, 1/2, 0

1, 2, 1

1, 2, 3

1, 2, 0

The liner equation ax + by = c is called _________ of the inequality ax +by > c.

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Associated equation

Non-associated equation

disjoint equation

Feasible equation

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

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1594

792

924

2924

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quadrant I

quadrant II

quadrant III

quadrant IV

For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

The point (x₁, y₁) lies outside the circle x²+ y²+ 2gx + 2fy + c =0 if

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If a^x= b^y= c^zand a, b, c are in G.P. then x, y, z are in

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A.P.

G.P.

H.P.

None of these

The angle between lines xy =0 is

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45°

60°

90°

180°

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Associative property of addition

Commutative property of addition

Distributive property

Additive identity

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The distance of the points (3, 4, 5) from y-axis is

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If e,e′ be the eccentricities of two conics S=0 and S′ =0 and if e2 +e′2 =3 then both S and S′ can be

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Hyperbola

Parabolas

Ellipses

None of these

Projection of vector u along v is

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|v| cosθ

|u| cosθ

|v| sinθ

|u| sinθ

If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______

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(√3+√5)+√7 = √3 +(√5 +√7) property used in above is

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t to adition

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2

4

8

16

Root of the equation 3^x-1+ 3^1-x= is

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2

1

0

-1

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

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260

356

410

96

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

If sinαand cosαare the roots of the equation px²+ qx + r =0, then

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p²- q²+ 2pr = 0

(p + r)²= q²- r²

p²+ q²- 2pr = 0

(p - r)²= q²+ r²

sin 3a = ______;

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3sin a - 4sin3a

4sin a -3 sin3 a

3 cos3 a -cosa

4cos3 a - 3cos a

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