Question # 1

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

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Ellipse

Circular cone

Circle

Point circle

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

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Left

Upward

Right

Downward

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

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Straight line

Tangent line

Normal line

Vertical line

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

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

The focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

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

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x = a

x = 0

y = a

y = 0

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

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x = 0

x = a

y = 0

y = a

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

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A pair of lines

Circle

Ellipse

Hyperbola

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0

4

7

Two arcs of two different circles are congruent if:

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The circles are congruent

The corresponding central angles are congruent

Both a and b

None of the above

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

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I and II

III and IV

II and III

I and III

In equation of circle, coefficient of each of x² and y² are:

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Not equal

Opposite in signs

Equal

None of these

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

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a

4a

2a

None of these

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4a

2a

4b

2b

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

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x = a

x = -a

y = a

y = -a

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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 parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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

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x = a

x = -a

y = a

y = -a

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

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