FA Part 2 Mathematics Chapter 6 Test Online

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 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 directrix of the parabola x² = -4ay is:

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

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

• 
  A
• 
  B
• 
  C
• 
  D

The opening of the parabola x²= 16y is to __________ of the x-axis:

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

The axis of the parabola y² = 4ax is:

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

y² = 4ax, is the standard equation of the:

• Ellipse A
• Parabola B
• Hyperbola C
• None of these D

The radius of circle x² + y² + ax + by + c = 0 is:

• 
  A
• 
  B
• 
  C
• None D

The axis of the parabola x² = 4ay is:

• x = 0 A
• x = -a B
• y = 0 C
• y = -a 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 vertex of the parabola y² = 4ax is:

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

The directrix of the parabola y² = 4ax is:

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

The graph of the parabola x² = -4ay is symmetric about:

• x-axis A
• major axis B
• y-axis C
• minor axis 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

If the cutting plane is slightly tillted and cuts only one nappe of the cone, then the section is a / an:

• Ellipse A
• Circular cone B
• Circle C
• Point circle 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 center of circle (x+3)² + (y-2)² = 16 equals:

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