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

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

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

The ratio between the measure of the radial segment and the diameter of a circle is:

• 2 : 1 A
• 4 : 3 B
• 1 : 2 C
• 
  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 radius of circle x² + y² + ax + by + c = 0 is:

• 
  A
• 
  B
• 
  C
• None 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

Two circles of radius 3 cm and 4 cm touch each other externally. The distance between their centers is:

• 1 cm A
• 7cm B
• 4cm C
• 5cm D

The center of circle x² + y² + 2gx + 2fy + c = 0 is:

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

A line segment whose end points lie on the circle is called a __________ of the circle.

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

A line segment joining two distinct points on a parabola is called a ___________ of the parabola:

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

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

• A pair of lines A
• Circle B
• Ellipse C
• Hyperbola 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 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

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

The focus of the parabola y²=-4ax is:

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

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

• 
  A
• 
  B
• 
  C
• 
  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 opening of the parabola y² = -4ax is to the left of the:

• x-axis A
• x = 1 B
• y-axis C
• x = 0 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 conic is a parabola, if:

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