Second Year Mathematics Chapter 6 Online MCQ Test Conic Section Preparation

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

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

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

The directrix of the parabola x² = -4ay 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 point of a parabola which is closest to the focus in the:

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

A line segment whose end points lie on the circle is called a __________ of the circle.

• Radius A
• Chord B
• Diameter C
• None of these D

The axis of the parabola y² = 4ax is:

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

• 
  A
• 
  B
• 
  C
• 
  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 two parts of a right circular cones are called:

• Nappes A
• Apex of the cone B
• Generator C
• Vertex 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

The focus of the parabola y²=-4ax is:

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

• 
  A
• 0 B
• 4 C
• 7 D

The center of circle (x+3)² + (y-2)² = 16 equals:

• (-3, 2) A
• (3, -2) B
• (3, 2) C
• (-3, -2) D

The conic is a parabola, if:

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

• Ellipse A
• Parabola B
• Hyperbola C
• Circle 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 equ. of directrix of the parabola y² = -4ax is:

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

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

• 
  A
• 
  B
• 
  C
• 
  D