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AP EAMCET202315 May 2023Morning ShiftMathematicsCircleActual

If the chord of contact of the point P ( h , k ) with respect to the circle x^2+y^2-4 x-4 y+8=0 meets the circle in two distinct points and it also makes an angle 45^ with the positive X -axis in the positive direction, then ( h , k ) cannot be

Options

  1. A( 5 2 , 3 2 )
  2. B( 5 3 , 7 3 )
  3. C(1,1)
  4. D(2,2)

Correct answer

C. (1,1)

Step-by-step solution

Equation chord of contact of the point (h, k) is aligned & x h+y k-4 (x+h) 2 -4 (y+k) 2 +8=0 & (h-2) x+(k-2) y-2 h-2 k+8=0 & Slope = 45^ =- (h-2) k-2 =1 & k-2+h-2=0 k+h-4=0 ...(i) aligned Add point are satisfied.

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