ExamBro
ExamBro
TS EAMCET · Maths · Circle

The radius of the circle with the polar equation \(r^2-8 r(\sqrt{3} \cos \theta+\sin \theta)+15=0\) is

  1. A \(8\)
  2. B \(7\)
  3. C \(6\)
  4. D \(5\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(7\)

Step-by-step Solution

Detailed explanation

Given polar equation of circle is \[ r^2-8 r(\sqrt{3} \cos \theta+\sin \theta)+15=0 \] or \(r^2-8(\sqrt{3} r \cos \theta+r \sin \theta)+15=0\) where \(r \cos \theta=x\) and \(y=r \sin \theta\). It can be rewritten in cartesian form…