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AP EAMCET · Maths · Circle

If the length of the tangent drawn from the point from \((-2,3)\) to the circle \(x^2+y^2+8 x\) \(-6 y+k=0\) is 4 units, then \(k\) is equal to

  1. A 34
  2. B 36
  3. C 38
  4. D 37
Verified Solution

Answer & Solution

Correct Answer

(D) 37

Step-by-step Solution

Detailed explanation

Circle \(C: x^2+y^2+8 x-6 y+k=0\) Length of tangents drawn by an external points to the circle is \(\sqrt{S_1}\). Now, the length of tangent drawn by \((-2,3)\) to the circle is \(L\),…