Question # 1

The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

a + x is ______

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A trinomial

A binomial

A monomial

None of these

Domain of sin x is ______

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What is the number of elements of the power set of { }

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0

1

2

3

The straight lines represented by the equation ax2+ 2hxy +by2 =0 intersects at

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(1,1)

(0,1)

(1,0)

(0,0)

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tanθ/2

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A combination lock on a suitcase has 3 wheels each labeled with nine digits from 1 to 9. If an opening combination is a particular sequence of three digits with no repeats, the probability of a person guessing the right combination is

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1 / 500

1 / 504

1 / 252

1 / 250

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both a & c

A rule or correspondence that assigns to each element x in X a unique element y in Y is called a function from

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X to X

X to Y

Y to X

none of these

Which symbolic notation represent unary operation ?

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-

∨

∧

⇔

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110

220

1320

None of these

The differential equation of all st. lines which are at a constant distance to form the origin is

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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

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If the points (a,2b):(c,a+b):(2c-a,h) lie on the same line then

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h=2a

h=a+b

h=ab

h=ac

The set {Z\ {0} } is group w.r.t

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Addition

Multiplication

Division

Subtraction

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The equation of vertical asymptotes of y = cos ecx is

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x = 0

y = 0

x =∞

y =∞

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Improper rational fraction

Rational fraction

Proper rational fraction

None of above

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30°

45°

60°

75°

Which is in the solution set of 4x - 3y < 2

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(3, 0)

(4, 1)

(1, 3)

None

Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is

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1/4

1/3

1/2

1/6

What is the period of 5 cot x=?

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π

-π

π/2

2π

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The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

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1700

17023

17027

17010

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0

1

2

3

The differential equations of all conis whose axes coincide with the co-ordinate axis is

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For which of the following ordered pairs (s, t) is s + t > 2 and s - t < -3?

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(3, 2)

(2, 3)

(1, 8)

(0, 3)

If f(x) = x²-x then f(1) is

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0

1

2

3

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