Question # 1

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

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|CP| < r

|CP| = r

|CP| > r

None of these

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

In the case of translation of axes which formula is true:

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x = X - h

x = X + h

x + X = h

None

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

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None

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4a

2a

4b

2b

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

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Outside

Inside

On

None of these

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

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Left

Upward

Right

Downward

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

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2

1

4

3

The conic is an ellipse, if:

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e = 1

e > 1

0 < e < 1

e = 0

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

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x² = 4ay

y²= 4ax

-x²= 4ay

-y²= 4ax

The distance between the center of a circle and any point of the circle is called:

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Tangents

Secant

Diameter

Radius

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

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A pair of lines

Circle

Ellipse

Hyperbola

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 radius of point circle is:

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0

(0, 0)

r

1

The axis of the parabola y² = 4ax is:

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x = 0

x = a

y = 0

y = a

The conic is a parabola, if:

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e = 1

e > 1

0 < e < 1

e = 0

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

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x -axis

y = c

y - axis

x = y

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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