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AP EAMCET20226 Jul 2022Morning ShiftMathematicsCircleActual

The slope of the normal to the circle x^2+y^2+2 g x+2 f y+ c =0 at ( x ₁, y ₁ ) is

Options

  1. A- ( x₁+g y₁+f )
  2. B- ( y₁+f x₁+g )
  3. Cx₁+g y₁+f
  4. Dy₁+f x₁+g

Correct answer

D. y₁+f x₁+g

Step-by-step solution

Given equation of circle is x^2+y^2+2 g x+2 f y+c=0 centre c (- g ,- f ) Slope of normal C P= y₁+f y₁+g

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