Number of Tangents From a Point on a Circle


 
 
Concept Explanation
 

Number of Tangents From a Point on a Circle

Number of tangents from a point on a circle : If we take any ponit P then there can be three situations

When the point is on the circle

Exactly one tangent can be drawn to the circle from point P

When the point is outside the circle

Exactly two tangents can be drawn to the circle from point P to the circle,

When the point is inside the circle

In this case we cannot draw any tangent to the circle.

Illustration: Classify the points marked in the figure with respect to the circle. The categories are One Tangent, Two Tangent and No Tangent.

One Tangent: D, B as the points lieon the circle

Two Tangent: A, C as the points lie outside the circle

No Tangent: E, F as the points lie inside the circle

 

Sample Questions
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Question : 1

A circle can pass through ____________________

Right Option : B
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Explanation
Question : 2

The tangents drawn at the ends of a diameter of a circle are:

Right Option : D
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Explanation
Question : 3

How many tangents can be drawn to a circle from a point in its interior ?

Right Option : D
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Explanation
 
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