2nd Year Mathematics Chapter 6 Online MCQ Test for 12th Class Mathematics Unit 6 (Conic Section)

If the equation of the parabola is y2 = 4ax, then opening of the parabola is to the right of the:

• x-axis A
• y = x B
• y-axis C
• x + y =0 D

The axis of the parabola y² = 4ax is:

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

The fixed point of the conic is called:

• Directrix A
• Vertex B
• Focus 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

If r is the radius of any circle and C its center, then any point P(x₁, y₁) lies outside the circle only if:

• |CP| < r A
• |CP| = r B
• |CP| > r 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

The radius of point circle is:

• 0 A
• (0, 0) B
• r C
• 1 D

One of the angles of a triangle inscribed in a circle is of 40°. If one of its' the diameter, the other angles have the measures:

• 30°, 110° A
• 40°, 100° B
• 50°, 90° C
• 20°, 120° D

If equation of circle is (x - h)² + (y - k)² = r², then center of a circle:

• (-h, -k) A
• (h, k) B
• (-h, k) C
• (h, -k) D

the focal chord perpendicular to the axis of the parabola is called _____________ of the parabola:

• Directrix A
• Latus rectum B
• Focus C
• Focal chord 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

An angle in a semi-circle is:

• 0° A
• 90° B
• 180° C
• 60° 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

The vertex of parabola (x - 1)² = 8 (y + 2) is:

• (1, -2) A
• (0, 1) B
• (-1, -2) C
• (1, 2) 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 radius of circle x² + y² + 2gx + 2fy + c = 0 is:

• 
  A
• 
  B
• 
  C
• 
  D

• 
  A
• 
  B
• 
  C
• 
  D

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

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

• 
  A
• 
  B
• 
  C
• 
  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