Question # 1

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2

1

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(1, 1)

(1, 3)

(1, 4)

(1, 5)

The linear function f(x) = ax + b is an identity function if:

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a = 0, b = 1

a = 1, b = 0

a = 1, b = 1

a = 0, b = 1

If a straight line is perpendicular to y-axis, then its slope is:

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1

-1

0

undefined

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3

4

5

6

The pair of lines of homogeneous second-degree equation ax² + 2hxy + by² = 0 are real and coincident, if:

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h² < ab

h²> ab

h²= ab

None of these

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cosec x + c

-cosec x + c

cot x + c

- cot x + c

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

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Outside

Inside

On

None of these

A function, in which the variables are __________ numbers, then function is called a real valued function of real numbers.

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Complex

Rational

Real

None of these

The curves obtained by cutting a __________ double right circular cone by a _______ are called conics:

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Straight line

Plane

Curve

None of these

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

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Secant

Diameter

Chord

Tangent

The equation to the straight line which passes through the point (2, 9) and makes an angle of 45° with x-axis is:

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x + y + 7 = 0

x - y + 7 = 0

y - x + 7 = 0

None of these

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For a square of side x units, the rate of change of area with respect to the side is given by:

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x

x²

2x

2

If the graph of f is entirely above the x-axis, then the definite integral is _______:

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Positive

Positive or negative

Negative

Positive and negative

The centroid of a triangle is a point that divides each median in the ratio:

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2 : 1

2 : 3

1 : 3

4 : 3

The instantaneous rate of change of y with respect to x is given by:

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The equ. of directrix of the parabola y² = -4ax is:

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x = a

x = - a

y = a

y = -a

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

The operation _______ by a positive constant to each side of inequality will affect the order (or sense) of inequality:

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Adding

Subtracting

Multiplying

None of these

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4a

2a

4b

2b

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ICS Part 2 Mathematics Full Book Test Online MCQs With Answers

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