Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

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

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

• 2 A
• 1 B
• 4 C
• 3 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

Equation of axis of the parabola x² = 4ay is:

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

The parabola y² = 4ax lies in quadrants:

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

The center of circle (x+3)² + (y-2)² = 16 equals:

• (-3, 2) A
• (3, -2) B
• (3, 2) C
• (-3, -2) D

The radius of point circle is:

• 0 A
• (0, 0) B
• r C
• 1 D

A chord containing the center of the circle is called ______ of the circle:

• Diameter A
• Chord B
• Radius C
• None of these 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 directrix of the parabola x² = 4ay is:

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

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

• 
  A
• 
  B
• 
  C
• 
  D

An angle in a semi-circle is:

• 0° A
• 90° B
• 180° C
• 60° 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

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

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

The focus of the parabola x² = 4ay:

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