Question # 1

y² = 4ax, is the standard equation of the:

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Ellipse

Parabola

Hyperbola

None of these

If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

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x² = 4ay

-x²= 4ay

-y²= 4ax

y²= 4ax

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

The axis of the parabola y² = -4ax is:

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x = a

x = 0

y = a

y = 0

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

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Outside

Inside

On

None of these

The point of a parabola which is closest to the focus in the:

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Directrix

Vertex

Focus

Chord

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

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Straight line

Tangent line

Normal line

Vertical line

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

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Normal

Bisects

Equal to

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

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies on the circle only if:

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|CP| < r

|CP| > r

|CP| = r

None of these

The graph of the parabola x² = -4ay is symmetric about:

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x-axis

major axis

y-axis

minor axis

The graph of the parabola y² = -4ax lies in quadrants:

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I and II

III and IV

II and III

I and III

The set of all points in the plane that are equally distant from a fixed point is called a / an:

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Circle

Circular cone

Ellipse

Point circle

The vertex of the parabola y² = -4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

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(-h, -k)

(h, k)

(-h, k)

(h, -k)

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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 equation x² + y² + 2x + 3y = 10 represents a:

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A pair of lines

Circle

Ellipse

Hyperbola

The ratio between the measure of the radial segment and the diameter of a circle is:

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2 : 1

4 : 3

1 : 2

The vertex of parabola (x - 1)² = 8 (y + 2) is:

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(1, -2)

(0, 1)

(-1, -2)

(1, 2)

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