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

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

A line that touches the curve without cutting through it is called:

• Straight line A
• Tangent line B
• Normal line C
• Vertical line D

The length of the latus rectum of the parabola y² = 4ax is:

• a A
• 4a B
• 2a 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

The focus of the parabola x² = 4ay:

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

A line through a point say P perpendicular to the tangent to the curve at P is called:

• Straight line A
• Tangent line B
• Normal line C
• None of these 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 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

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

The equation x² + y² + 2x + 3y = 10 represents a:

• A pair of lines A
• Circle B
• Ellipse C
• Hyperbola 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 fixed point of the conic is called:

• Directrix A
• Vertex B
• Focus 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

The number e denotes the _________ of the conic:

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

The conic is an ellipse, if:

• e = 1 A
• e > 1 B
• 0 < e < 1 C
• e = 0 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 slightly tillted and cuts only one nappe of the cone, then the section is a / an:

• Ellipse A
• Circular cone B
• Circle 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 directrix of the parabola x² = -4ay is:

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

The equi. of latus-rectum of the parabola y² = -4ax is:

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