Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

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 vertex of the parabola x² = 4ay is:

• (-a, 0) A
• (0, a) B
• (0, -a) C
• (0, 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 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 vertex of the parabola y² = 4ax is:

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

If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a / an:

• Parabola A
• Circular cone B
• Ellipse C
• Circle 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

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

The axis of the parabola x² = 4ay is:

• x = 0 A
• x = -a B
• y = 0 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

The focus of the parabola y²=4ax is:

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

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

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  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

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

• 2 A
• 1 B
• 4 C
• 3 D

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

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

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

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

Point (5, 6) lies ..... the circle x² + y² = 81:

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