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Identify correct statement(s) about conic (x-5)^2+(y-7)^2 + (x+1)^2+(y+1)^2 =12

Options

  1. Acentre is (2,3)
  2. Bhyperbola with foci (5,7) and (-1,-1)
  3. Cequation of major axis 4 x-3 y+1=0
  4. De= 5 7

Correct answer

C. equation of major axis 4 x-3 y+1=0

Step-by-step solution

aligned & ( x -5)^2+( y -7)^2 + ( x +1)^2+( y +1)^2 =12 & PS + PS ^ =2 a ellipse & 2 ae = 36+64 & 2 a =12 e= 5 6 & axis ( y -7)= 7+1 5+1 ( x -5) 3( y -7)=4( x -5) & 4 x -3 y +1=0 aligned

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