Question # 1

x² + y² = 4 is:

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Function

Not a function

Ellipse

Line

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0

The graph of the parabola y²= -4ax is symmetric about:

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x-axis

y = x

y-axis

None of these

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Undefined

3a²

a²

0

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

Notation Df(x) for derivative was used by:

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Cauchy

Newton

Leibniz

Lagrange

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

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1 (1 - 4)

2x - 3

x - 3

x³ - 3x

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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The center of circle (x+3)² + (y-2)² = 16 equals:

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(-3, 2)

(3, -2)

(3, 2)

(-3, -2)

Let f(x) = x², then range of f is the set of all:

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Real numbers

Non-negative real numbers

Non-negative integers

Complex numbers

x = 3 cos t, y = 3 sin t represent

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Line

Circle

Parabola

Hyperbola

If the lower limit is a constant and the upper limit is a variable, then the integral is a function of:

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x

y

lower limit

upper limit

y - ordinate of the centroid of triangle with vertices A(-2, 3) B(-4, 1), C(3, 2) is:

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3

1

2

0

Perpendicular dropped from the center of a circle on a chord _______ the chord:

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Normal

Bisects

Equal to

None of these

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Ellipse

Parabola

Hyperbola

Circle

The area A of a circle as a function of its circumference C is:

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Two non parallel lines intersect each other at:

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1 point

2 points

3 points

4 points

Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

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Inside

On

Outside

None of these

The opening of the parabola y² = -4ax is to the left of the:

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x-axis

x = 1

y-axis

x = 0

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FSC Part 2 Mathematics Full Book Online Test MCQs With Answers

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