Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

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

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

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

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

• 4a A
• 2a B
• 4b C
• 2b 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

The directrix of the parabola x² = 4ay is:

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

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

If a point lies inside a circle, then its distance from the center is:

• Equal to the radius A
• Less then the radius B
• Greater then the radius C
• Equal to or greater than the D

The point of a parabola which is closest to the focus in the:

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

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

• x-axis A
• x = 1 B
• y-axis C
• x = 0 D

• Ellipse A
• Parabola B
• Hyperbola C
• Circle 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

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 vertex of the parabola x² = -4ay is:

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

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

• Parabola A
• Circular cone B
• Ellipse C
• 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

If the equation of the parabola x² = 4ay, then opening of the parabola is upward of the:

• x-axis A
• y-axis B
• Major axis C
• Minor axis 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

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

• x² = 4ay A
• y²= 4ax B
• -x²= 4ay C
• -y²= 4ax D