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

The curves obtained by cutting a __________ double right circular cone by a _______ are called conics:

• Straight line A
• Plane B
• Curve C
• None of these 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

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

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

A chord containing the center of the circle is called ______ of the circle:

• Diameter A
• Chord B
• Radius C
• None of these 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

Two real and distinct 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 center of circle x² + y² + 2gx + 2fy + c = 0 is:

• (-g, -f) A
• (-f, -g) B
• (0, 0) C
• (g, f) D

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

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

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

• Left A
• Upward B
• Right C
• Downward 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 fixed point of the conic is called:

• Directrix A
• Vertex B
• Focus C
• None of these D

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

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

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

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

• x = 0 A
• x = a B
• y = 0 C
• y = a 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 distance between the center of a circle and any point of the circle is called:

• Tangents A
• Secant B
• Diameter C
• Radius 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

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

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

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