Question # 1

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 on the circle only if:

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|CP| < r

|CP| > r

|CP| = r

None of these

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

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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)

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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Chord

Vertex

Focus

Directrix

Two real and distinct tangents can be drawn to a circle from any point P(x₁, y₁) ______ the circle:

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Inside

On

Outside

None of these

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0

4

7

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

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

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2

1

4

3

A line segment having both the end-points on a circle and not passing through the center is called a:

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A chord

A secant

A diameter

None of these

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

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Ellipse

Parabola

Hyperbola

Circle

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

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

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

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30°, 110°

40°, 100°

50°, 90°

20°, 120°

The axis of the parabola x² = 4ay is:

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x = 0

x = -a

y = 0

y = -a

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

The focus of the parabola x² = 4ay:

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(0, a)

(-a , 0)

(0, -a)

(a, 0)

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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