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

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

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

Perpendicular dropped from the center of a circle on a chord _______ the chord:

• Normal A
• Bisects B
• Equal to 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

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

• 
  A
• 
  B
• 
  C
• 
  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 conic is a parabola, if:

• e = 1 A
• e > 1 B
• 0 < e < 1 C
• e = 0 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

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

• 4a A
• 2a B
• 4b C
• 2b 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

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

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

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

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

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

• 
  A
• 
  B
• 
  C
• None 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

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

• (-h, -k) A
• (h, k) B
• (-h, k) C
• (h, -k) D

An angle in a semi-circle is:

• 0° A
• 90° B
• 180° C
• 60° D

The radius of point circle is:

• 0 A
• (0, 0) B
• r C
• 1 D

The directrix of the parabola y² = 4ax is:

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