Question # 1

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a

2b

b

2a

Point (5, 6) lies ..... the circle x² + y² = 81:

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Outside

Inside

On

None of these

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

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

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A pair of lines

Circle

Ellipse

Hyperbola

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

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Left

Upward

Right

Downward

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

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x = a

x = 0

y = a

y = 0

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

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None

The length of the latus rectum of the parabola y² = 4ax is:

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a

4a

2a

None of these

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

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(a, 0)

(0, 0)

(0, -a)

(0, a)

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

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

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x -axis

y = c

y - axis

x = y

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

The vertex of the parabola x² = 4ay is:

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(-a, 0)

(0, a)

(0, -a)

(0, 0)

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

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Left

Upward

Right

Downward

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

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x = a

x = 0

y = a

y = 0

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

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

The equi. of latus-rectum of the parabola y² = -4ax is:

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x = a

x = -a

y = a

y = -a

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

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

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