FSc Part 2 Mathematics Chapter 6 Short Questions Preparation

Define a diameter of the circle.

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

Define conics.

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

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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.

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In cone how the section of a circle is obtained.

• Ans 1: If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a circle.

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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 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.

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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.

Define a diameter of the circle.

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

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.

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.

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Define nappes.

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

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Define centre of the circle.

• Ans 1: In a circle, the fixed point is called the centre of the circle which is equi-distance from all points in the plane.

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In cone how the section of a circle is obtained.

• Ans 1: If the cone is cut by a plane perpendicular to the axis of the cone, then the section is a circle.

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Define ellipse as plane section of a cone.

• Ans 1: If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.

Define conics.

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

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In cone how the section of an ellipse is obtained.

• Ans 1: If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.

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In cone how the section of an ellipse is obtained.

• Ans 1: If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.

Define a diameter of the circle.

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

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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.

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Define ellipse as plane section of a cone.

• Ans 1: If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.

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:

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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:

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In cone how the section of an ellipse is obtained.

• Ans 1: If the cutting plane is slightly titled and cuts only one nappe of the cone, then the section is an ellipse.

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.

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