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

In equation of circle, coefficient of each of x² and y² are:

• Not equal A
• Opposite in signs B
• Equal C
• None of these 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 two parts of a right circular cones are called:

• Nappes A
• Apex of the cone B
• Generator C
• Vertex 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
• major axis B
• y-axis C
• minor axis D

The vertex of the parabola y² = 4ax is:

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

• Circle A
• Parabola B
• Hyperbola C
• Ellipse D

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

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

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

• x = a A
• x = -a B
• y = a C
• y = -a 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 equi. of latus-rectum of the parabola y² = -4ax is:

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

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

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

• 
  A
• 0 B
• 4 C
• 7 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

Point (5, 6) lies ..... the circle x² + y² = 81:

• Outside A
• Inside B
• On C
• None of these D

Measure of the central angle of a minor arc is ____ the measure of the angle subtended in the corresponding major arc.

• Equal A
• Double B
• Not equal to C
• Triple D

The axis of the parabola y² = -4ax is:

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

Equation of axis of the parabola x² = 4ay is:

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

The radius of point circle is:

• 0 A
• (0, 0) B
• r C
• 1 D

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

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