Online Short Questions Preparations

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 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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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 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.

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 chord of the circle.

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

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

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.

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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.

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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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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 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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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 nappes.

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

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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.

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.

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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.

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.