Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

The directrix of the parabola y² = 4ax is:

• x = a A
• x = -a B
• y = a 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

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

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

A circle is of radius 5 cm, the distance of a chord 8 cm long from its center is:

• 4 cm A
• 3cm B
• 2.5cm C
• 3.4cm D

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

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

The focus of the parabola y²=4ax is:

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

A line that touches the curve without cutting through it is called:

• Straight line A
• Tangent line B
• Normal line C
• Vertical line 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 graph of the parabola x² = -4ay is symmetric about:

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

Two arcs of two different circles are congruent if:

• The circles are congruent A
• The corresponding central angles are congruent B
• Both a and b C
• None of the above 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

The number e denotes the _________ of the conic:

• Directrix A
• Vertex B
• Focus C
• Eccentricity 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

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

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

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 directrix of the parabola x² = 4ay is:

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

• a A
• 2b B
• b C
• 2a D

If the focus lies on the y - axis with coordinates F(0, a) and directrix of the parabola is y = -a, then the equation of parabola is:

• x² = 4ay A
• -x²= 4ay B
• -y²= 4ax C
• y²= 4ax D

A line perpendicular to a radial chord of a circle at the end-point (which lies on the circle) is a:

• Secant A
• Diameter B
• Chord C
• Tangent D