ICS Part 2 Mathematics Chapter 6 Short Questions Preparation

• 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.

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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.

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 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.

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 a diameter of the circle.

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

Define radius of the circle.

• Ans 1: The distance from the centre of the circle to any point on the circle is called the radius of the circle.

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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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Define radius of the circle.

• Ans 1: The distance from the centre of the circle to any point on the circle is called the radius of the circle.

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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 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 asymptote.

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

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 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 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 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.

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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.

• Ans 1:

Define radius of the circle.

• Ans 1: The distance from the centre of the circle to any point on the circle is called the radius of the circle.