FSC Part 2 Mathematics Chapter 6 Online Test

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

• Directrix A
• Latus rectum B
• Focus C
• Focal chord D

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

• |CP| < r A
• |CP| > r B
• |CP| = r C
• None of these D

• Circle A
• Parabola B
• Hyperbola C
• Ellipse D

• Ellipse A
• Parabola B
• Hyperbola C
• Circle D

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

• Inside A
• On B
• Outside C
• None of these D

The point of a parabola which is closest to the focus in the:

• Directrix A
• Vertex B
• Focus C
• Chord D

The conic is a parabola, if:

• e = 1 A
• e > 1 B
• 0 < e < 1 C
• e = 0 D

The point where the axis meets the parabola is called ________ of the parabola:

• Directrix A
• Vertex B
• Focus C
• Eccentricity D

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

• Left A
• Upward B
• Right C
• Downward D

Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

• 1 cm A
• 7cm B
• 4cm C
• 5cm D

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:

• x² = 4ay A
• y²= 4ax B
• -x²= 4ay C
• -y²= 4ax D

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

• Left A
• Upward B
• Right C
• Downward D

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

• x = a A
• x = 0 B
• y = a C
• y = 0 D

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

• (-a, 0) A
• (a, 0) B
• (0, -a) C
• (0, 0) D

The fixed point of the conic is called:

• Directrix A
• Vertex B
• Focus C
• None of these D

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

• Outside A
• Inside B
• On C
• None of these D

The directrix of the parabola x² = 4ay is:

• x = a A
• x = -a B
• y = a C
• y = -a D

Two arcs of two different circles are congruent if:

• The circles are congruent A
• The corresponding central angles are congruent B
• Both a and b C
• None of the above D

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

• A chord A
• A secant B
• A diameter C
• None of these D

The focus of the parabola y²=-4ax is:

• (-a , 0) A
• (0, a) B
• (0, -a) C
• (a, 0) D