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JEE Mathematics · Medium

Circle: Tangent length MCQ

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Tangent lengthMediumQuestion 320005

Question

The length of tangent from (3, 4) to the circle x² + y² = 9 is:
  1. A
    4
    Correct
  2. B
    5
  3. C
    √16 = 4
  4. D
    2√5

Correct answer

4

Explanation

Length of tangent from external point (x₁,y₁) = √(x₁²+y₁²−r²) = √(9+16−9) = √16 = 4.

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