Question # 1

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The distance of the point (2,3) from origin is

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5

2

3

Which of the vectors have opposite direction?

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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 set {0,-1} hold closure property under

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Addition

Both a & c

Multiplication

None of these

(x + 2)²= x²+ 4x + 4 is

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A linear equation

A cubic equation

A quadratic equation

None

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The logic in which every statement is regarded as true or false and no other possibility is called

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Aristotelian login

Inductive logic

Non-Aristotelian logic

None of these

What is the period of 6 sin x=?

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π

-π

π/2

2π

Two quadratic equation in which xy term is missing and the coefficients of x²and y²are equal, give a linear equation by ______

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Addition

Subtraction

Multiplication

Division

The line 2x +√6y =2 is a tangent to the curve x2 -2y2 =4 The point of contact is

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(√6,1)

(2,3)

(7,-2√6)

(4,-√6)

The distance of a moving particle at any instant t is x = 3t2 +1 then velocity of particle at t = 10 is

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50 cm/sec

60 cm/sec

61 cm/sec

None of these

The point (1,3) is one solution of

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3x + 5y > 29

3x + 5y < 7

x + 2y < 4

x + 4y > 3

The number of divisors of 1029, 1547 and 122 are in

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A.P.

G.P.

H.P.

None of these

The value of sin^-1 5/13 is equal to

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Cos 5/13

Tan^-1 5/12

cos^-15/12

2 cos^-14/5

3x + 4 = 0 is

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not inequality

equation

identity

inequality

The system of measurement in which the angle is measured in degrees, minutes and seconds is called the

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circular system

CGS system

sexagesimal system

none of these

The set of whole numbers is subset of

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The set on integers

The set of natural numbers

{1, 3, 5, 7, ....}

The set of prime numbers

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Polynomial of degree 0

Polynomial of degree 2

Quadratic equation

None of these

If B-A≠φ , then n(B-A) is equal to

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n(a)+n(c)

n(c)-n(a)

n(a)-n(c)

None of these

Sin-1(-x)=

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x

-x

-sin-1 x

cos-1 x

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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 value of n, when ⁿP₂= 20 is

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3

4

6

5

x = 1 is in the solution of the inequality

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x + 1 > 0

x - 2 > 0

3x - 1 < 0

x + 2 < 0

Which is not included in the domain of cos^-1x

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0

1

-1

2

In a country, 55% of the male population has houses in cities while 30% have houses both in cities and in village. Find the percentage of the population that has house only in villages.

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45

30

25

50

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