Question # 1

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

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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x-axis

y = x

y-axis

x + y =0

Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

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c

2g + 2f -c

None

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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x = 0

y = -a

y = 0

y = -a

The graph of the the parabola x² = 4ay lies in quadrant:

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I and II

III and IV

II and III

I and III

If a point lies inside a circle, then its distance from the center is:

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Equal to the radius

Less then the radius

Greater then the radius

Equal to or greater than the

Equation of axis of the parabola x² = 4ay is:

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x = 0

x = a

y = 0

y = a

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

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

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A pair of lines

Circle

Ellipse

Hyperbola

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 fixed point of the conic is called:

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Directrix

Vertex

Focus

None of these

The radius of circle x² + y² + ax + by + c = 0 is:

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None

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

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Ellipse

Parabola

Hyperbola

None of these

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

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Directrix

Latus rectum

Focus

Focal chord

If a circle and a line intersect in two points, then the line is called:

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A chord

A secant

A diameter

None of these

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

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Left

Upward

Right

Downward

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

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Parabola

Circular cone

Ellipse

Circle

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