Question # 1

f(x) = log x + 3 is a

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trigonometric function

algebraic function

exponential function

logarithmic function

The area of sector with central angle of 1 radians in a circular region whose radius is 2 m is

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A series consisting of an unlimited number of terms is termed as an

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Finite sequence

Infinite sequence

^{Infinite series}

geometric sequence

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The distance of point P(x,y) from focus in a parabola

y² =4ax, is:

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2a

a

x + a

x-a

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If for two events A and B , P(A∪B)=1,then events A and B are

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Certain events

Mutually exclusive

Complementary events

Independent

The roots of the equation x2 +6x-7=0,are

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1

2

1 and -7

-7

A function f(x) is said to be the periodic function if for all x in the domain of f, there exists a smallest positive number p such the f(x + p) = ______

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f(p)

f(x)

f(o)

None of these

The coefficient of the third term of (8a-b)^1/3, after simplification is

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-228

1/288

1/220

-1/177

In the interval 0≤ x ≤ π, the sine is

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Not a function

Not defined

Infinity

Not one-to-one function

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A rectangular hyperbola whose centre is C is cut by any circle of radius r in four points P, Q, R and S. Then CP²+ CQ²+ CR²+ CS²=

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r²

2 r²

3 r²

4 r²

The multiplicative inverse ofx^(-1) is

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x

a-2

0

1

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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none of these

The three consecutive numbers a,√ab,b are in

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G.P

H.P

G.M

None of these

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2^x

2^xIn x

2^xIn 2

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quadrant I

quadrant II

quadrant III

quadrant IV

0 (zero) is

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An irrational number

A rational number

A negative integer

A positive number

If x is an image of y under the function f. This can be written as

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y = f(x)

f(x) = 0

x = f(y)

f(y) =0

Two matrices A and B are conformable for the product AB if

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Both A and B are square

Both A and B are symmetric

Number of rows of A = number of columns of B

Number of columns of A = number of rows of B

(x³-1/2x)⁶is

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15/16 x²

2/13 x²

17/7 x²

16/15 x²

√23 is

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A rational number

A irrational number

An even integer

A factor of 36

sinα=

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2 sinαcosα

2 sinαcosβ

2 sinα/2 cosα/2

1+ tan²α/2

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3/2 is

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An irrational number

Whole number

A positive integer

A rational number

The value of p for which both the roots of the equation 4x2- 20x + (25p2+ 15 p - 66) = 0 are less than 2, lies in

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y=-a is the equation of the directrix of

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y2 =4ax

x2=-4ay

x2=4ay

y2=-4ax

Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is

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{(1, 1), (2, 2), (3, 3)}

{(4, 4), (5, 5), (6, 6)}

{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}

None of these

A function of the form p(x)/Q(x) is called:

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Rational function

Logarithmic function

Exponential function

Hyperbolic function

If f(x) = x²- x then f(2) is

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4

6

2

0

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