Question
Easy
Solving time: 2 mins
Prove that the lengths of tangents drawn from an external point to a circle are equal.
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Text solutionVerified
Let two tangents, SK and SR drawn to circle with center O from an external point K.
To prove that: SK=RK
Proof:
Normal and tangent at a point on the circle are perpendicular to each other.
Using Pythagoras Theorem,
.....(i)
....(ii)
Subtracting (ii) from (i),
,Hence, proved
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Question Text | Prove that the lengths of tangents drawn from an external point to a circle are equal. |
Topic | Circles |
Subject | Mathematics |
Class | Class 10 |
Answer Type | Text solution:1 |
Upvotes | 52 |