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

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 vertex of the parabola y² = 4ax is:

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

The two parts of a right circular cones are called:

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

• Ellipse A
• Parabola B
• Hyperbola C
• Circle 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

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

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

The number e denotes the _______ of the conic:

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

The focus of the parabola x² = 4ay:

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

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

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

• 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

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

The radius of point circle is:

• 0 A
• (0, 0) B
• r C
• 1 D

The vertex of parabola (x - 1)² = 8 (y + 2) is:

• (1, -2) A
• (0, 1) B
• (-1, -2) C
• (1, 2) D

The focus of the parabola y²=-4ax is:

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

Two arcs of two different circles are congruent if:

• The circles are congruent A
• The corresponding central angles are congruent B
• Both a and b C
• None of the above 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

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

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