Question # 1

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

An ellipse slides between two lines at right angles to one another. The locus of its centre is :

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a parabola

an ellipse

a circle

a hyperbola

i¹⁰¹ =

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i

i²

-i

-1

The exponent of x in 10th term in the expansion of (a+x)n

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10

12

11

9

The solution set of the equation 4 cos²x - 3 + 0 is

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none of these

The period of the trigonometric function y = sin x cos x is

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2π

π

4π

π / 2

For an A.P common difference d

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Can be zero

May or may not zero

Cannot be zero

None of these

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ax + by < c is linear inequality in

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four variables

three variables

two variables

one variable

If a = {2m/2m < 9 ,m€ p} , the (n A) =

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{2,3,4,5,6,7,8}

{2,4,6,8............16}

{ 4, 6}

{2,3,5,7}

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30°

45°

60°

75°

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x =0, y =4

x = -1, y = 2

x = 2, y = 3

x = 3, y = 4

i is equal

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(1 , 0)

(0 , 1)

(1 , 1)

(0 , 0)

The roots of the equation will be irrational if b²- 4ac is

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Positive and perfect square

Positive but not a perfect square

Negative

Zero

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The expansion of (1 + 2x)^-2is valed if

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| x | < 1/2

| x | < 1

| x | < 2

| x | < 3

∀ 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 differential equation representing the family of curves y = A cos (x + B), where A, B are parameters, is

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The law of sines

The law of consines

The law of tangents

None of these

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(x +a)(x +b)(x +c)(x +) = k, k≠0 is reducible to quadratic form only if

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a+b=c+d

a+c=b+d

a+d=b+c

All are correct

The tangents drawn from the point P to a circle are imaginary if

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P is on the circle

P is inside the circle

P is outside the circle

none of these

The range of function f(x)=-x2+2x-1 is

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R

(-∞,0]

(-∞,1]

[0,∞)

There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

Sum of two quantities is at least 20 is denoted by

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x +y =20

x +y≥ 20

x +y≠ 20

x +y≤20

(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

If (0, 0) and (1, 0) are the end points of a diameter, then the equation of the circle is

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A circle drawn inside a triangle and touching its sides is called

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In-circle

Circum circle

Escribed circle

None of these

(a,0) x (c,0) =

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(0,ac)

(ac,0)

(0,0)

(a,c)

The probability that a slip of number divisible by 4 is picked from the slips bearing numbers 1, 2, 3, ...10 is

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1/5

1/4

1/3

1/2

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