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AP EAMCET · Maths · Circle

The point of concurrence of all conjugate lines of the line \(5 x+7 y-78=0\) with respect to the circle \(x^2+y^2+6 x+8 y-96=0\) is

  1. A (-2 , 3)
  2. B (3 ,-2 )
  3. C (3 ,2 )
  4. D (2, 3)
Verified Solution

Answer & Solution

Correct Answer

(D) (2, 3)

Step-by-step Solution

Detailed explanation

The all conjugate lines of the line \(5 x+7 y-78=0\) with respect to circle \(x^2+y^2+6 x+8 y-96=0\) passes through the pole of the given line with respect to given circle. Let required pole is \(P\left(x_1, y_1\right)\), so equation of polar of point…