Question # 1

If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is

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7

8

9

10

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0

-1

1

1/2

The sides of a right angled triangle are in A.P The ratio of sides is

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1:2:3

3:4:5

2:3:4

5:8:3

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

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I3

rI3

r

none

(7,9) +(3,-5) =

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(4,4)

(10,4)

(9,-5)

(7,3)

The equation of the circle witch centre (-3, 5) and radius 7 is

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(x-3)²+ (y+5)²= 7²

(x-3)²+ (y-5)²= 7²

(x+3)²+ (y+5)²= 7²

(x+3)²+ (y-5)²= 7²

The 8th term of (1+2x) ^-1/2is

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-221/16 x⁷

-225/18 x⁷

-407/9 x³

-429/16 x⁷

The roots of the equation 2^2x- 10.2^x+ 16 = 0 are

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2, 8

1, 3

1, 8

2, 3

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2

4

8

12

Each complex cube root of unity is square of

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itself

1

-1

the other

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Roots of the equation 9x²- 12x + 4 = 0 are

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Real and equal

Real and distinct

Complex

None of these

The set (Z, +) forms a group

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Forms a group w.r.t. addition

Non commutative group w.r.t. multiplication

Forms a group w.r.t multiplication

Doesn't form a group

The matrix A = [aij]1xn is a

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Vector

Rectangular matrix

Column vector

Square matrix

A and B be two square matrices and if their inverse exist, the (AB)^-1=

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A^-1B^-1

AB^-1

A^-1B

B^-1A^-1

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Reciprocal equation

Exponential equation

Radical equation

None of these

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If 0 = {1,3,5.......}, then n (0) =

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99

odd integers

Even numbers

Infinite

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0

-2

1

4

Group of none-singular matrices under multiplication is

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None-Abelian group

Semi group

Abelian group

None of these

The length of the tangent from (2, 1) to the circle x²+ y²+ 4y + 3 = 0 is

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Which of the following us a scalar

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displacement

velocity

acceleration

density

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

The 7th term of (3⁸ + 6⁴x)^11/4 is

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-19217/3 x⁶

189/2 6⁴x

2227/12 x³

-19712/3 x⁶

e-radii are denoted by

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η

r2

r3

All of these

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

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Equal

Parallel

Additive immense of each other

Meaningless

The study conics, pappus used the method of:

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analytic geometry Euclidean

solid geometry

Greek mathmaticians

None of these

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(a + b)c = a . c + bc

a + b = b + a

(a + b) + c = a + (b + c)

a(b+ c) = ab + ac

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ax2 +2hxy +by2 +2gx +2fy +c =0 may represent an ellipse if

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h2 -ab <0

h2 -ab≠ 0

h2 -ab =0

h2 -ab >0

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