Question # 1

cot(3π/2 -θ)=______;

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tanθ

cotθ

-tanθ

-cotθ

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Which of the following is a quadrantal angle

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100°

200°

170°

270°

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-a -b -c

1

0

-1

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

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2

-2

3

4

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quadrant I

quadrant II

quadrant III

quadrant IV

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cot x + c

tan x + c

-cot x + c

-tan x + c

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

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The locus of the centre of a circle which touches two given circles externally is:

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a hyperbola

an ellipse

a circle

a parabola

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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)

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An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

None of these

A stationary point x is a relative exterma of y= f(x) is

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f′′ (x) > 0

f′′ (x) < 0

f′′ (x) ≠ 0

f′′(x) = 0

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sin 2x + c

-sin 2x + c

√2 is a number

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Rational

Irrational

Even

Odd

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None of these

The equation of the normal to the circle x²+ y²= 25 at (4, 3) is

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3x - 4y =0

3x - 4y =5

4x + 3y = 5

4x + 3y = 25

The integral of 3x⁵dx is:

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15 x⁴

x⁶/2

1/6x⁵

x⁵/ln3

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An empty set

Universal set

A singleton set

None of these

If cos (2 sin-1 x) = 1/9 , then what is the value of x?

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1/3

-2/3

2/3

2/3 , -2/3

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

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73 / 120

83 / 120

67 / 120

43 / 120

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Proper fraction

Improper fraction

Rational fraction

None of these

∀a,b, c ε R ac = bc ⇒ a = b, c ≠ 0 is a

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Symmetric property

Cancellation property w.r.t multiplication

Reflexive property

Transitive property

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There are ______ types of rational fraction

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Three

Four

Five

Two

f(x) = x³is:

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an odd function

an even function

an implicit function

a quadratic funtion

The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

The set of all positive even integers is

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Not a group

A group w.r.t subtraction

A group w.r.t division

A group w.r.t multiplication

If |αi + (α+1)j +2k| =3 then value of α is

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1,2

-1,-2

1,-2

-1,2

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