FSc Part 2 Mathematics Chapter 6 Short Questions Preparation

• Ans 1:

• Ans 1:

Define nappes.

• Ans 1: The surface generated consists of two parts of a right circular cones are called nappes.

Give definition of a circle.

• Ans 1: The set of all points in the plane that are equally distant from a fixed point is called a circle.

Define a diameter of the circle.

• Ans 1: A chord containing the centre of the circle is called diameter of the circle.

• Ans 1:

• Ans 1:

Define circle as plane section of a cone.

• Ans 1: If a place cuts the cone perpendicular to the axis of the cone, then the section is a circle.

Define conics.

• Ans 1: The curves obtained by cutting a (double) right circular cone by a plane are called conics.

• Ans 1:

• Ans 1:

Define hyperbola as plane section of a cone.

• Ans 1: If the cutting plane is parallel to the axis of the cone and intersects both of its nappes, then the section is a hyperbola.

Define a tangent line to a curve.

• Ans 1: A line that touches the curve without cutting through it is called a tangent line to the curve.

• Ans 1:

Define the axis of the cone.

• Ans 1: A line through the centre C of a given circle and perpendicular to its plane is called the axis of the cone.

• Ans 1:

• Ans 1:

Define point circle.

• Ans 1: If the cone is cut by a plane passes through the vertex A, then the intersection is just a single point or a point circle.

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

Define conics.

• Ans 1: The curves obtained by cutting a (double) right circular cone by a plane are called conics.

Define the axis of the cone.

• Ans 1: A line through the centre C of a given circle and perpendicular to its plane is called the axis of the cone.

Define a normal line to a curve.

• Ans 1: A line through a point say P perpendicular to the tangent to the curve at P is called a normal line to the curve.

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

Define latus rectum of the parabola.

• Ans 1: The focal chord perpendicular to the axis of the parabola is called latus rectum of the parabola.

• Ans 1:

• Ans 1:

• Ans 1:

Define circle as plane section of a cone.

• Ans 1: If a place cuts the cone perpendicular to the axis of the cone, then the section is a circle.

• Ans 1:

Define parabola as plane section of a cone.

• Ans 1: If the cutting plane is parallel to the generator of the cone, intersects its one nappe only, then the section is a parabola.

• Ans 1:

• Ans 1:

• Ans 1:

Define circle as plane section of a cone.

• Ans 1: If a place cuts the cone perpendicular to the axis of the cone, then the section is a circle.

• Ans 1:

• Ans 1:

• Ans 1:

• Ans 1:

Define parabola as plane section of a cone.

• Ans 1: If the cutting plane is parallel to the generator of the cone, intersects its one nappe only, then the section is a parabola.

• Ans 1:

Define asymptote.

• Ans 1: A line, which seems to touch a given curve at the point of contact i.e. at infinity is called asymptote.

• Ans 1:

• Ans 1: