Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

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 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

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

Length of tangent from (0,1) to x² + y² + 6x - 3y + 3 = 0

• 2 A
• 1 B
• 4 C
• 3 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 parabola y² = 4ax lies in quadrants:

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

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

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

An angle in a semi-circle is:

• 0° A
• 90° B
• 180° C
• 60° 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

The vertex of the parabola y² = 4ax is:

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

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

• x = a A
• x = - a B
• y = a C
• y = -a 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 number e denotes the _________ of the conic:

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

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

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

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

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

• Secant A
• Diameter B
• Chord C
• Tangent D