Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

If r is the radius of the circle and its center is at origin, then equation of circle is:

• x² + y² = a² A
• x² + y² = r² B
• x² - y² = a² C
• x² - y² = r² 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

The equ. of directrix of the parabola y² = -4ax is:

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

The focus of the parabola y²=-4ax is:

• (-a , 0) A
• (0, a) 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

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 ratio between the measure of the radial segment and the diameter of a circle is:

• 2 : 1 A
• 4 : 3 B
• 1 : 2 C
• 
  D

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

• 
  A
• 
  B
• 
  C
• None 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 focus of the parabola y²=4ax is:

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

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

• Left A
• Upward B
• Right C
• Downward 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

A line through a point say P perpendicular to the tangent to the curve at P is called:

• Straight line A
• Tangent line B
• Normal line C
• None of these D

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

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

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

• (-g, -f) A
• (-f, -g) B
• (0, 0) C
• (g, f) 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 A
• 2b B
• b C
• 2a D

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

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

The number e denotes the _______ of the conic:

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