Question # 1

How many types of an equation

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1

3

2

None

In ladder leaning against a vertical well makes an angle of 24^𝜊with the wall, Its foot is 5m from the wall, its length is

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5.47m

2m

7m

6.29m

If the exponent in the binomial expansion is 6, then the middle term is

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2nd

3rd

4th

5th

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The eccentricity of the conic 9x²- 16y²= 144 is

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4/5

5/4

4/3

3/4

When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

tan(cot^-1x) is equal to

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cot(tan^-1x)

tan x

secon x

None of these

The vertex of the standard position angles lies on

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(0,0)

(0,1)

(1,0)

(1,1)

For an arithmetic series to be convergent it is necessary that the series has

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Finite terms

d<0

Infinite terms

None of these

a.a^-1 = a^-1.a = 1 is a

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Commutative law of multiplication

Multiplicative identity

Associative law of multiplication

Multiplicative inverse

The set of real numbers is a subset of

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The set of natural numbers

The set of rational numbers

The set of integers

The set of complex numbers

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

The property used in -3 <-2 ⇒0 <1

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Commutative property

Additive property of inequality

Additive inverse

Additive identity

The angles of elevation of the top of a tower at the top and the foot of a pole of height 10 m are 30° and 60° respectively. The height of the tower is

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10 m

15 m

20 m

None of these

The triangle that does not have a right angle is called.

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Isosceles triangle

right angle triangle

equivalent triangle

oblique triangle

Composition of functions is

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Non-commutative (fg ≠ gf)

non-associative [8(fh) ≠(8f)h]

Commutative (fg = gf)

f of-1≠ 1

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a = 4, b = 1

a = 1, b = -4

a = 0, b = 4

a = 2, b = 4

The distance of the points (3, 4, 5) from y-axis is

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The standard form of the quadratic function f(x) = -x² +4x+2, is

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(x-2)²+6

-(x-2)² + 6

(x-3)²+5

(x+4)²-7

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Rational

Irrational

Even

Odd

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0

-1

1

The principal value of sin^-1(-1/2)

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π/3

π/4

π/6

-π/6

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Commutative property of addition

Closure property of addition

Additive inverse

Associative property w.r.t. to addition

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2x + 2y

4 - x²

-x/y

x/y

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None of these

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0

1

1/2

If for the matrix A,A5 = 1,then A-1=

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A2

A3

A

None of above

If Sin A = sin B, cos A = cos B, then the value of A in terms of B is

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The foot of perpendicular from (α,β,γ) only y-axis is

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(α, 0, 0)

(0,β, 0)

(0, 0, γ)

(0, 0, 0)

The number of x-intercepts of y= sin x in his period

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0

1

2

3

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