Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

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

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

The equ. of directrix of the parabola y² = -4ax is:

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

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

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

The conic is a parabola, if:

• e = 1 A
• e > 1 B
• 0 < e < 1 C
• e = 0 D

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

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

The number e denotes the _________ of the conic:

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

The equation x² + y² + 2x + 3y = 10 represents a:

• A pair of lines A
• Circle B
• Ellipse C
• Hyperbola D

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

• Outside A
• Inside B
• On 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

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 length of the latus rectum of the parabola y² = 4ax is:

• a A
• 4a B
• 2a C
• None of these D

The radius of point circle is:

• 0 A
• (0, 0) B
• r C
• 1 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 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

Point p (-5, 6) lies ............ the circle x² + y² + 4x - 6y - 12 = 0

• Outside A
• Inside B
• On C
• None of these 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 point where the axis meets the parabola is called ________ of the parabola:

• Directrix A
• Vertex B
• Focus C
• Eccentricity 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

• 4a A
• 2a B
• 4b C
• 2b D