12th class Mathematics chapter 6 online mcq test with answers for Fa part 2 Mathematics Chapter 6 (Conic Section)

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

• 
  A
• 
  B
• 
  C
• 
  D

If the equation of the parabola is x² = 4ay, then opening of the parabola is to _______ of the x-axis:

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

The directrix of the parabola y² = 4ax is:

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

Two imaginary tangents can be drawn to a circle from any point P(x₁, y₁) _______ the circle:

• Inside A
• On B
• Outside C
• None of these D

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

• (a, 0) A
• (0, 0) B
• (0, -a) C
• (0, a) 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 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 fixed point of the conic is called:

• Directrix A
• Vertex B
• Focus C
• None of these D

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

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

The graph of the parabola y² = -4ax lies in quadrants:

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

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

• 
  A
• 
  B
• 
  C
• 
  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 distance between the center of a circle and any point of the circle is called:

• Tangents A
• Secant B
• Diameter C
• Radius 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

The focus of the parabola y²=4ax is:

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

• 4a A
• 2a B
• 4b C
• 2b 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