Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

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 number e denotes the _______ of the conic:

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

• a A
• 2b B
• b C
• 2a D

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

• 
  A
• 
  B
• 
  C
• 
  D

The axis of the parabola y² = -4ax is:

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

A line segment having both the end-points on a circle and not passing through the center is called a:

• A chord A
• A secant B
• A diameter 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

If the focus lies on the x-axis with coordinates F(a, 0) and directrix of the parabola is = - a then the equation of parabola is:

• x² = 4ay A
• y²= 4ax B
• -x²= 4ay C
• -y²= 4ax 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

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

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 number e denotes the _________ of the conic:

• Directrix A
• Vertex B
• Focus C
• Eccentricity 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

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 axis of the parabola x² = -4ay is:

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

The directrix of the parabola x² = 4ay is:

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

Perpendicular dropped from the center of a circle on a chord _______ the chord:

• Normal A
• Bisects B
• Equal to C
• None of these 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 a point lies inside a circle, then its distance from the center is:

• Equal to the radius A
• Less then the radius B
• Greater then the radius C
• Equal to or greater than the D

If the equation of the parabola is y² = - 4ax, then opening of the parabola is to the ______ of the y-axis:

• Left A
• Upward B
• Right C
• Downward D