Interaction between Line and Circle

IMPORTANT

Interaction between Line and Circle: Overview

This Topic covers sub-topics such as Secant of a Circle, Normal to a Circle, Interaction between a Line and a Circle and, Tangent: Special Case of Secant

Important Questions on Interaction between Line and Circle

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IMPORTANT

The tangent to a circle is a special case of the secant when the two end points of its corresponding chord coincide. (Yes/No)

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Every normal of a circle passes through center of the circle.

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What is chord of a circle?

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A line that intersects a circle at a minimum of two distinct.

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There will be no point of intersection if a line does not touch the circle at all

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When a circle and a line are in a plane, they can have only two points of intersection.
 

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At any point on a circle there can be one and only one tangent.

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The tangent to a circle is a special case of the _____ when the two end points of its corresponding chord coincide.

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Find radius of circle with centre O. If AOOC.
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Chords MN and RS of a circle intersect at P outside the circle. If PN=3 cm, MN= 5 cm, PR = 2 cm. Then the value of SR is equal to.
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EASY
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A straight line which passes through two points on a circle is

HARD
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The lengths of two parallel chords on one side of the centre of a circle are 6 cm and 8 cm. If they are at a distance of 1 cm, then the diameter of the circle will be

MEDIUM
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In the given figure, the diameter of two wheels have measured 2 cm and 4 cm. The length of the belts AD and BC that pass around the wheels, if it is given that belts cross each other at right angles is k cm. Find the value of k.

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