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

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

• Ellipse A
• Parabola B
• Hyperbola C
• None of these 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 graph of the the parabola x² = 4ay lies in quadrant:

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

The set of all points in the plane that are equally distant from a fixed point is called a / an:

• Circle A
• Circular cone B
• Ellipse C
• Point circle D

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

• 30°, 110° A
• 40°, 100° B
• 50°, 90° C
• 20°, 120° D

The axis of the parabola x² = 4ay is:

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

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

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

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

The fixed point of the conic is called:

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

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

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

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

• a A
• 2b B
• b C
• 2a 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 parabola y² = 4ax lies in quadrants:

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

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

A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

• 4 cm A
• 3cm B
• 2.5cm C
• 3.4cm D

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

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