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AP EAMCET202125 Aug 2021Morning ShiftMathematicsCircleActual

The length of the chord intercepted by the circle x^2+y^2-8 x-2 y-8=0 on the line x+y+1=0 is units.

Options

  1. A14
  2. B7
  3. C2 7
  4. D7

Correct answer

C. 2 7

Step-by-step solution

Equation of circle array ll & x^2+y^2-8 x-2 y-8=0 & g=-4, f=-1, c=-8 array Centre (4,1) and radius, r= 16+1+8 =5 Distance from centre (4,1) to the line aligned & x+y+1=0 is & | 4+1+1 2 |= 6 2 =3 2 aligned aligned Length of chord & =2 (5)^2-(3 2 )^2 & =2 25-18 =2 7 aligned

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