FSC Part 2 Mathematics Chapter 6 Online Test

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

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

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

The radius of circle x² + y² + 2gx + 2fy + c = 0 is:

• 
  A
• 
  B
• 
  C
• 
  D

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

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

Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.

• Equal A
• Double B
• Not equal to C
• Triple D

The graph of the parabola x² = -4ay is symmetric about:

• x-axis A
• major axis B
• y-axis C
• minor axis D

The two parts of a right circular cones are called:

• Nappes A
• Apex of the cone B
• Generator C
• Vertex D

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

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

The center of circle (x+3)² + (y-2)² = 16 equals:

• (-3, 2) A
• (3, -2) B
• (3, 2) C
• (-3, -2) D

The vertex of parabola (x - 1)² = 8 (y + 2) is:

• (1, -2) A
• (0, 1) B
• (-1, -2) C
• (1, 2) D

A chord containing the center of the circle is called ______ of the circle:

• Diameter A
• Chord B
• Radius C
• None of these 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

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

• 4 cm A
• 3cm B
• 2.5cm C
• 3.4cm D

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

• x-axis A
• x = 1 B
• y-axis C
• x = 0 D

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

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

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

The axis of the parabola x² = 4ay is:

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

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

• x = X - h A
• x = X + h B
• x + X = h C
• None D

The parabola y² = 4ax lies in quadrants:

• I and II A
• III and IV B
• II and III C
• I and IV D

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

• x-axis A
• y-axis B
• Major axis C
• Minor axis D