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

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

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 axis of the parabola x² = -4ay is:

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

• Circle A
• Parabola B
• Hyperbola C
• Ellipse 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

An angle in a semi-circle is:

• 0° A
• 90° B
• 180° C
• 60° D

The focus of the parabola y²=4ax is:

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

If a circle and a line intersect in two points, then the line is called:

• A chord A
• A secant B
• A diameter 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 vertex of the parabola y² = -4ax is:

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

In the case of translation of axes which formula is true:

• x = X - h A
• x = X + h B
• x + X = h C
• None D

The conic is an ellipse, if:

• e = 1 A
• e > 1 B
• 0 < e < 1 C
• e = 0 D

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

• (-h, -k) A
• (h, k) B
• (-h, k) C
• (h, -k) D

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

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

In the case of rotation of axes which formula is true:

• 
  A
• 
  B
• 
  C
• 
  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 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 opening of the parabola x² = 4ay is upward of the:

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

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