Question # 1

The end points of the major axis of the ellipse are called its

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Foci

Vertices

Co - vertices

None of these

The mid point of the line segment joining the points A(-8,3) and B(2,-1) is

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(-3,1)

(-6,2)

(5,2)

(-5,2)

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

If p and q are two statements then their biconditional 'p if q' is denoted by

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Which of the following is a scalar.

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electric field

magnetic field

weight

mass

What is the period of tan 4/3 x =?

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π/4

4π/3

7π/4

3π/4

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

If a,β are the roots of ax2+bx+c=0,the equation whose roots are doubled is

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ay2 +2by+c=0

ay2+2by+4c=0

ay2+2by+c=0

ay2+by+4c=0

The set of complex numbers forms

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Commutative group w.r.t addition

Commutative group w.r.t multiplication

Commutative group w.r.t division

Non commutative group w.r.t addition

How many term are there in the A.P, in which a₁ = 11 , a_n =68, d=3

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30

27

20

21

f(x)g(x)- ∫g(x) f′(x) dx is equal to

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∫f(x)g′(x)dx

∫f′(x)g(x)dx

∫f′(x)g(x)′dx

∫f(x)g(x)dx

How many types of an equation

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1

3

2

None

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Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

n! > 2ⁿ-1 is true when

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n≤ 3

n≤ 6

n≥ 4

n≤ 6

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The equation |x +4| = x has solution

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x = -2

x = 2

x = -4

x = 4

Co-ordinate of a point on the parabola y² = 8x whose focal distance is 4 are:

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(2 , 4)

(-2 ,-4)

(-2, 4)

(2,-4)

Which is an explicit function

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y = x²+ 2x - 1

x²+ xy + y²= 2

x²+ y²= xy + 2

All are

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Cos 2x = sin 4y

Cos 4y = cos 2x

Cos 3y = sin 4x

None of these

Cos 60° = ______

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1

2

1/2

3

tan (π-θ) = ______

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- sinθ

- tanθ

- cosθ

- cotθ

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Free vector

Null vector

Unit vector

None of these

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How many signals can be given by 5 flags of different colours, using 3 flags at a time

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120

60

24

15

The distance between two points P(x₁, y₁) and Q (x₂, y₂) is

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The distance s of a particle in time t is given by s = t³- 6t²- 4t - 8. Its acceleration vanishes at t =

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1

2

3

4

The distance of point P(x,y) from focus in a parabola

y² =4ax, is:

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2a

a

x + a

x-a

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