ICS Part 2 Mathematics Chapter 6 Short Questions Preparation

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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.

Define a chord of the circle.

• Ans 1: A line segment whose end points lie on the circle is called a chord of the circle.

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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 chord of the circle.

• Ans 1: A line segment whose end points lie on the circle is called a chord of the circle.

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.

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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.

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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 a diameter of the circle.

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

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.

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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 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.

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 vertex of the cone.

• Ans 1: The surface generated consists of two parts of a right circular cone meeting in the fixed point say then A, is called vertex or apex of the cone.

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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 asymptote.

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

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