FA Part 2 Mathematics Chapter 6 Test Online

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

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

The axis of the parabola x² = 4ay is:

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

An angle in a semi-circle is:

• 0° A
• 90° B
• 180° C
• 60° D

The graph of the parabola y² = -4ax is symmetric about:

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

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

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

y² = 4ax, is the standard equation of the:

• Ellipse A
• Parabola B
• Hyperbola C
• None of these D

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• 
  A
• 
  B
• 
  C
• 
  D

The vertex of the parabola x² = 4ay is:

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

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

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

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

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

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

• a A
• 4a B
• 2a C
• None of these D

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

• Left A
• Upward B
• Right C
• Downward 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 axis of the parabola x² = -4ay is:

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

The radius of point circle is:

• 0 A
• (0, 0) B
• r C
• 1 D

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

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

• 4a A
• 2a B
• 4b C
• 2b D

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

• Parabola A
• Circular cone B
• Ellipse C
• Circle D