Question # 1

The opening of the parabola x² = 4ay is upward of the:

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x -axis

y = c

y - axis

x = y

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Joint equation of y + 2x = 0, y - 3x = 0 is:

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(y+2x)(y-3x) = 0

(y-2x)(y-3x) = 0

(y+2x)(y+3x) = 0

(y-2x)(y+3x) = 0

A line that touches the curve without cutting through it is called:

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Straight line

Tangent line

Normal line

Vertical line

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Lagrange

Newtown

Leibniz

Cauchy

A line segment whose end points lie on the circle is called a __________ of the circle.

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Radius

Chord

Diameter

None of these

If a variable y depends on a variable x in such a way that each value of x determines exactly one value of y, then y is a __________ of x.

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Independent variable

Not function

Function

None of these

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Circle

Parabola

Hyperbola

Ellipse

Which of the following is not a vector quantity ?

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Weight

Mass

Force

Velocity

Non-vertical lines divide the plane into___________half plane:

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Upper and lower

Many

Left and Right

None of these

The vertex of the parabola x² = -4ay is:

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(a, 0)

(0, 0)

(0, -a)

(0, a)

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Parabola

Hyperbola

Ellipse

Circle

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

The opening of the parabola x²= 16y is to __________ of the x-axis:

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Left

Upward

Right

Downward

Two vectors are equal if they:

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Pass through the same point

Are parallel to each other

Are parallel to each other and have same direction

Have equal magnitude and have same direction

Let f(x) = x² + 3, then domain of f is:

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Set of all integers

Set of natural numbers

Set of real numbers

Set of rational numbers

If r is the radius of the circle and its center is at origin, then equation of circle is:

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x² + y² = a²

x² + y² = r²

x² - y² = a²

x² - y² = r²

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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(-g, -f)

(-f, -g)

(0, 0)

(g, f)

An angle in a semi-circle is:

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0°

90°

180°

60°

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90°

30°

60°

0°

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