Question # 1

A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

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4 cm

3cm

2.5cm

3.4cm

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 focus of the parabola y²=-4ax is:

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(-a , 0)

(0, a)

(0, -a)

(a, 0)

The parabola y² = 4ax lies in quadrants:

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I and II

III and IV

II and III

I and IV

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 condition for the line y = mx + c to be a tangent to the circle x² + y² = a² is c = _____________:

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

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Outside

Inside

On

None of these

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

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x -axis

y = c

y - axis

x = y

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

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x = a

x = 0

y = a

y = 0

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

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x = a

x = -a

y = a

y = -a

If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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Left

Upward

Right

Downward

The vertex of the parabola y² = 4ax is:

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(-a, 0)

(a, 0)

(0, -a)

(0, 0)

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

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Straight line

Tangent line

Normal line

Vertical line

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

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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Parabola

Hyperbola

Ellipse

None of these

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

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x = a

x = 0

y = a

y = 0

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

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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 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 vertex of the parabola x² = -4ay is:

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(a, 0)

(0, 0)

(0, -a)

(0, a)

The two parts of a right circular cones are called:

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Nappes

Apex of the cone

Generator

Vertex

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