Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

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

• x -axis A
• y = c B
• y - axis C
• x = y D

The focus of the parabola x² = 4ay:

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

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

The directrix of the parabola x² = 4ay is:

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

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

The axis of the parabola x² = 4ay is:

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

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

• Left A
• Upward B
• Right C
• Downward 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

A chord passing through the focus of a parabola is called a ________ of the parabola:

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

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

• (-a , 0) A
• (0, a) B
• (0, -a) C
• (a, 0) 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 center of circle (x+3)² + (y-2)² = 16 equals:

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

Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

• 
  A
• c B
• 2g + 2f -c C
• None D

The set of all points in the plane that are equally distant from a fixed point is called a / an:

• Circle A
• Circular cone B
• Ellipse C
• Point circle D

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

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

• 2 A
• 1 B
• 4 C
• 3 D

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

• x-axis A
• y = x B
• y-axis C
• None of these D