Question # 1

The point which divides the line segment joining the points (a, b) and (c, d) in the ratio 2 : 3 internally is

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none of these

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110

220

1320

None of these

O is ______

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A positive integer

A negative integer

A natural number

An integer

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3x²+ 2

3x²+ 2x + 3

x³+ x²

none of these

The equation ax²+ 2hxy + by²+2gx + 2fy + c =0 represents an ellipse if

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The general value ofθsatisfying the equation 2 sin²θ- 3 sinθ-2 = 0 is

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The middle term of the expansion (1 + 2x)⁶is ______

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1st term

4th term

2nd term

5th term

In any triangle ABC,with usual notationαsinβ =____;

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b sinα

bsinβ

αsinα

None of these

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none of these

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-1

1

2

-2

If you are looking a high point from the ground, then the angle formed is

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Angle of elevation

Angle of depression

Right angle

Horizon

The value of k (k > 0) for which the equation x²+ kx + 64 = 0 and x²- 8x + k = 0 both will have real roots is

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8

-16

-64

16

If a 1-1 correspondence can be established b/w two sets A and B, then they are called

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Equal sets

Equivalent sets

Over lapping sets

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An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

None of these

An equation in which at least one term contains dy/dx, d² y /dx²etc, is called.

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Differential equation

Initial condition

General solution

Singular equation

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

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26

7

21

Cannot be determined

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

∀a,b, c ε R,a +c = b + c = > a = b

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Reflexive property

Symmetric property

Cancellations property w.r.t. addition

Transitive property

The distance of the point (2, -3) from x-axis is

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-2

-3

2

3

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The equation of the circle with centre (5, -2) and radius 4 is

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(x-5)²+ (y+2)²= 16

(x-5)²+ (y+2)²= 4

(x-5)²+ (y-2)²= 16

(x-5)²+ (y-2)²= 4

The 6th term of an arithmetic sequence whose first term is 3 and common difference in zero is

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18

6

3

0

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0

1

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

If the radius of a circle is increased by 1 then area of circle will be

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π r2

π(r+1)2

π r2 +1

2π (r+1)

x = secθ,y = tanθ are the parametric equations of

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Circle

Hyperbola

Ellipse

parabola

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none of these

The distance of the point (2.3) from x-axis is

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2

3

5

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x

y

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