Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

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

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

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

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

• 
  A
• 0 B
• 4 C
• 7 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

If a circle and a line intersect in two points, then the line is called:

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

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

• 
  A
• 
  B
• 
  C
• 
  D

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

• a A
• 4a B
• 2a C
• None of these 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 two parts of a right circular cones are called:

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

The radius of circle x² + y² + ax + by + c = 0 is:

• 
  A
• 
  B
• 
  C
• None D

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

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

Two imaginary 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 axis of the parabola x² = -4ay is:

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

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

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

The graph of the parabola y² = -4ax lies in quadrants:

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

The directrix of the parabola y² = 4ax is:

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

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

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