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AP EAMCET202422 May 2024Evening ShiftMathematicsCircleActual

The normal drawn at (1,1) to the circle x^2+y^2-4 x+6 y-4=0 is

Options

  1. A4 x+3 y=7
  2. B4 x+y=5
  3. Cx+y=2
  4. D4 x-y=3

Correct answer

B. 4 x+y=5

Step-by-step solution

Given circle is x^2+y^2-4 x+6 y-4=0 . (g, f)=(-2,3) Equation of normal at (x₁, y₁ ) is aligned & (y-y₁ ) ( y₁+f x₁+g ) (x-x₁ ) (y-1)= ( 1+3 1-2 )(x-1) & 4 x+y=5 aligned

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