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AP EAMCET · Maths · Circle

If the lines \(2 x+y+12=0, k x-3 y-10=0\) are conjugate with respect to the circle \(x^2+y^2-4 x+3 y-1=0\), then \(k=\)

  1. A 4
  2. B -9
  3. C -3
  4. D -5
Verified Solution

Answer & Solution

Correct Answer

(A) 4

Step-by-step Solution

Detailed explanation

Lines \(2 x+y+12=0, k x-3 y-10=0\) are conjugate with respect to given circle. \(\therefore\) Pole of line \(2 x+y+12=0\) lie on the line \(k x-3 y-10=0\) Equation of polar of pole \((x, y)\) to circle \(x^2+y^2-4 x+3 y-1=0\) is…