Question # 1

An integral of 1/x dx is:

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1/x²

1/-x²

1/lnx

lnx

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

The range of the function f : x→ y is defined by

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{x| y = f (x) ∀x∈ X ∧y∈y}

{(x,y) |y = f (x)∀x∈ X}

{y|y = f (x) ∀x∈ X ∧y∈y}

Y

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sin -1(sin2π/3) =

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π/2

2π/3

-3π/2

π/3

The domain of y = cos-1 x is

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-∞ < x < ∞

-1≤ x≤ 1

x≤ -1 or x ≥ 1

None of these

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1

-1

5

2

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all are correct

f(x) = C is

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identity function

constant function

linear function

quadratic function

The equation (cos p - 1)x²+ x (cos p) + sin p = 0 in the variable x, has real roots, then p can take any value in the interval

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(0, 2π)

(-π, -0)

(0,π)

None of these

4/√49 is a

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Irrational Number

Prime Number

Rational number

Whole number

Through how many radians does the minute hand of a clock turn in one hour

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Which of the following is a quadrantal angle

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100°

200°

170°

270°

If one root of 5x2 + 13x + k = 0 be the reciprocal of the other root the value of k is

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0

2

1

5

If sin x + sin²x = 1, then the value of Cos¹²x + 3cos¹⁰x + 3cos⁸x + cos⁶x + 2 cos⁴x + cos²x-2 is equal to

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0

1

2

sin²x

(-28,12) divides the join of A(-6,3) and B(5,-2) in ratio

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1:2

3:2

2:3

2:1

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1

-i

i

0

If Z = (1,2), then Z^-1= ?

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(0.2, 0.4)

(-0.2, 0.4)

(0.2, -0.4)

(-0.2, -0.4)

The trigonometric function are continuous whenever

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They are defined

their limit exist

Their period is given

All are incorrect

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Y = -x log x -x + c

Y = x log x + x

Y = x log x - x + c

None of these

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none of these

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Natural numbers

Whole numbers

Integers

Rational numbers

Tan 3x tan 2x-tan x is equal to

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Tan x tan 2x tan 3x

-tan x tan 2x tan 3x

Tan x tan 2x - tan - tan x tan 3x - tan 2x tan 3x

None of these

If b₁, b₂, b₃, ... are in G.P. with first term unity and common ratio r, then the minimum value of b₁- b₃+ b₅is equal to

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3/4

1/4

1

None of these

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sec 3x + c

- cosec 3x + c

If the elevation of the sun is 30°, then the length of the shadow cast by a tower of 150 ft height is

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a sin(ax + b) + c

- a sin(ax + b) + c

Multiplying each side of an inequality by (-1) will:

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Not effect

Change the sign

Become zero

Not defined

If f(x) = x²then f(0) is

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0

1

2

none of these

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