Question # 1

If x,y are two -ve distinct numbers then

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A>G>H

A<G<H

A=G=H

None of these

The number of tangents to the circle x2+ y2 -8x -6y +9 =0 which pass through the point (3,-2) is

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2

1

0

None of these

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Principle of equality of Fractions

Rule for product of fraction

Golden rule of fraction

Rule of quotient of Fraction

Graph of the question x²+ y²= 4 is

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A circle

An ellipse

A parabola

A square

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16 / 7

6 / 17

7 / 16

None of these

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A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

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X to X

X to Y

Y to X

none of these

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The equation of the sphere passing thro' (0, 0, 0), (a, 0, 0), (0, b, 0), (9, 0, c) is

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x²+ y²+ z²+ 2 ax +2 by + 2cz = 0

x²+ y²+ z²- 2ax - 2 by - 2cz = 0

x²+ y²+ z²- ax - by - cz = 0

x²+ y²+ z²+ ax + by + cz = 0

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0

2

4/3

5/3

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tan(cot^-1x) is equal to

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cot(tan^-1x)

tan x

secon x

None of these

The set of natural is a semi group w.r.t

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Addition

Division

Subtraction

None of these

The number of terms in the expansion of (a + x)¹²is

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13

12

11

10

The transport of a rectangular matrix is a

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Square matrix

Rectangular matrix

Row matrix

Column matrix

If a tangent line touches the function y = f (x) in more than one point then y = f (x) is

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Periodic

Surjective

Bijective

Injective

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(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio

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1:2

3:2

2:3

2:1

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8

9

10

11

The A.M. of two numbers is 34 and G.M. is 16, the numbers are

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2 and 64

64 and 3

64 and 4

None of these

Area ofΔABC=

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ab sinα

1/2 ab sinα

1/2 ac sinγ

1/2 ac sinβ

If order of A is m x n, then order of A^tis

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m x m

n x n

m x n

n x m

The set {1, -1, 1, -1}, form a group under

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Addition

Multiplication

Subtraction

None

The set {1,-1,i,-i}

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Form a group w.r.t addition

Form a group w.r.t multiplication

Does not form a group w.r.t multiplication

Not closed under multiplication

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The set of all antiderivaties of f(= ∫f(x)dx) is the

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Definite integral

Indefinite integral

Integral

Area

If f(x) = x²then f(2) is

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-2

2

4

-4

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(2x+a+b+c)

(a+b+c)

(a+b+c+x)

0

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