2nd Year Mathematics Chapter 6 Online MCQ Test for 12th Class Mathematics Unit 6 (Conic Section)

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

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

The axis of the parabola y² = 4ax is:

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

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

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

The vertex of the parabola x² = 4ay is:

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

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

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

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

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

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

• 
  A
• 
  B
• 
  C
• 
  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 length of the latus rectum of the parabola y² = 4ax is:

• a A
• 4a B
• 2a C
• None of these D

The radius of point circle is:

• 0 A
• (0, 0) B
• r C
• 1 D

The focus of the parabola y²=4ax is:

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

The focus of the parabola y²=-4ax is:

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

• Circle A
• Parabola B
• Hyperbola C
• Ellipse 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

Two real and distinct 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

If the radius of a circle is zero, then the circle is called a / an:

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