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

• a A
• 2b B
• b C
• 2a D

The parabola y² = 4ax lies in quadrants:

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

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

• 2 A
• 1 B
• 4 C
• 3 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 graph of the parabola y²= -4ax is symmetric about:

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

The two parts of a right circular cones are called:

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

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

• Left A
• Upward B
• Right C
• Downward 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 radius of circle x² + y² + 2gx + 2fy + c = 0 is:

• 
  A
• 
  B
• 
  C
• 
  D

The radius of point circle is:

• 0 A
• (0, 0) B
• r C
• 1 D

If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section a / an:

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

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

• a A
• 4a B
• 2a C
• None of these 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

The vertex of the parabola x² = 4ay is:

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

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies outside the circle only if:

• |CP| < r A
• |CP| = r B
• |CP| > r C
• None of these 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

The focus of the parabola y²=-4ax is:

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