Question # 1

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∀ a ε R ∃ o ε R such that a + v = 0 + a = a is property of

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Commutative law of addition

Associative law of addition

Additive identity

Additive inverse

The position vector of any point in space is

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Tan 3x tan 2x-tan x is equal to

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Tan x tan 2x tan 3x

-tan x tan 2x tan 3x

Tan x tan 2x - tan - tan x tan 3x - tan 2x tan 3x

None of these

For any real numbers x,y,xy=o ⇒

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x ≠ 0 ∧ y ≠ 0

x = 0 ∨ y = 0

x = 0

y = 0

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none of these

7²ⁿ+ 3^n-1. 2^3n-3is divisible by

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24

25

9

13

The point lying on the terminal rat of -270° is

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(1,0)

(0,-1)

(0,1)

(-1,0)

The additive inverse of 1 is

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1

-1

0

Does not exist

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The modulus of 12-5i is:

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7

13

√7

119

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0

1

-1

none of these

The set of positive integers, 0 and negative integers is known as the set of

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Natural numbers

Rational numbers

All integers

Irrational numbers

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

If f (x)=a0 +a1x+a2x2+a3x3-----+0n-1xn-1+anxn then f(n) (x) is equal to

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n!

ann!

0

an

Coordinates of the focus of the parabola x² - 4x -8y-4=0 are:

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(0,2)

(,0,1)

(2,0)

(1,2)

The sum of all 2 digit number is

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4750

3776

4895

4905

The roots of (x - a)(x - b) = ab x2 are always

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Real

Depends upon a

Depends upon b

Depends upon a and b

What is the axis of the parabola y²= 4ax?

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x = 0

y = 0

x = a

y = 0

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A subset of set of complex number whose elements are of the form (a,0) is called

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Real number

Complex number

Rational number

Irrational number

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If one root of the equation x²- 3x + a = 0 is 2 then a = ______

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0

1

2

3

The solution of differential equation:

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dy/dx+y/x = x²is :

4xy = x⁴+ c

4x = x⁴= c

4 y = x⁴+ c

4x=4x³ + c

A chord passing through the centre of the circle is called

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the secant of the circle

the tangent of the circle

the arc of the circle

the diameter of the circle

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none of these

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12

6

8

none of these

The eccentricity of the parabola y²= -8x is

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-2

2

-1

1

For every positive integers n 1+5+9+....+ (4n - 3) is

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n(2n - 1)

(2n - 1)

n - 1

n

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