Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

The graph of the the parabola x² = 4ay lies in quadrant:

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

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

• 2 A
• 1 B
• 4 C
• 3 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

• 4a A
• 2a B
• 4b C
• 2b D

The number e denotes the _________ of the conic:

• Directrix A
• Vertex B
• Focus C
• Eccentricity D

The focus of the parabola x² = 4ay:

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

The equi. of latus-rectum of the parabola y² = -4ax is:

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

The axis of the parabola y² = -4ax is:

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

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

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

An angle in a semi-circle is:

• 0° A
• 90° B
• 180° C
• 60° D

If a circle and a line intersect in two points, then the line is called:

• A chord A
• A secant B
• A diameter C
• None of these D

Length of tangent from (a, 0) to the circle x² + y² + 2gx + 2fy + c = 0 is:

• 
  A
• c B
• 2g + 2f -c C
• None 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 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 focus of the parabola y²=-4ax is:

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

The point where the axis meets the parabola is called ________ of the parabola:

• Directrix A
• Vertex B
• Focus C
• Eccentricity D

• 
  A
• 0 B
• 4 C
• 7 D

Two real and distinct 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

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