Question # 1

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3

6

0

None of these

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Period of sin x is

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The expression x2 - x + 1 has

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One proper linear factor

No proper linear factor

Two proper linear factors

None of these

If f (x) = 2x+1 then fof (x) = _______;

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4x+3

2x +3

4x +1

None of these

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

A = B iff

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All elements of A also the elements of B

A and B should be singleton

A and B have the same number of elements

If both have the same element

Name the property used in a (b-c) = ab - ac

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commutative property of multiplication

distributive property of multiplication

associative property of multiplication

multiplicative inverse

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-2x³

2x^-3

-2x^-3

2x³

The 60th part of one minute is called

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Degree

Second

Radiam

None of these

The equation of a line parallel to the tangent to the circle x²+ y²= 16 at the point (2, 3) and passing thro' the origin is

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2x + 3y = 0

2x - 3y = 0

3x + 2y = 0

3x - 2y = 0

Let a₁, a₂, a₃, a₄and a₅be such that a₁, a₂, and a₃are in A.P., a₂, a₃and a₄are in G.P and a₃, a₄and a₅are in H.P. Then, a₁, a₃and a₅are in

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G.P.

A.P.

H.P.

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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-1

0

1

None of these

If C is the mid point of AB and P is any point outside AB, then

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Principle of equality of Fractions

Rule for product of fraction

Golden rule of fraction

Rule of quotient of Fraction

The period of the function f(x) = sin⁴x + cos⁴x is

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π

π/2

2π

None of these

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none of these

The multiplicative inverse of x such that x = 0 is

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-x

Does not exist

1/x

±1

The lines l1and l2intersect. The shortest distance between them is

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Positive

Negative

Zero

Infinity

If a,β are the roots of the equation x2 + kx +12 = 0 such that a - β = 1, the value of k is

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0

±1

±5

±7

The 7th term of the A.P 7,11,15,is

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24

31

26

23

The period of tan x/7 is

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3π

7π

15π

5π

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2

4

8

16

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If θ be angle between u,v and u,v determine the sides of a triangle then the third side opposite to angle θ has length

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|u+v|

|u|+|v|

|u-v|

|u|-|v|

x = -1 is in the solution of the inequality

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x + 5 < 0

2x + 3 < 0

x > 0

2x + 3 > 0

x = ________ is in the solution of 2x - 3 < 0

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2

-2

3

4

Which of the following function form 1 to itself are bi-jective

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F(x) = x + 3

F(x) = x⁵

F(x) = 3x + 2

F(x) = x²+ x

The point of concurrency of the medians of the ΔABC is called its

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Orthocenter

Centriod

Circumcentre

Incentre

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