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99 Percentile Qs Bank for JEE MainMathematicsCircle

Two sides of a square are along the lines x=-5 and y=4 . The point of intersection of the diagonals is (3,-4) . The point of intersection of the tangents drawn to the circumcircle of the square at the two consecutive vertices lying on x=-5 is

Options

  1. A(-4,-4)
  2. B(-13,-4)
  3. C(-4,-13)
  4. D(-4,-10)

Correct answer

B. (-13,-4)

Step-by-step solution

For point R ( x , y ) aligned & ( x -5 2 , y +4 2 )=(3,-4) & R (11,-12) aligned Since PQRS is square Q (-5,-12) and S (4,11) Also PMQC is square N ( x , y )= ( -5-5 2 , 4,-12 2 )=(-5,-4) For point M ( x , y ) aligned & ( x+3 2 , y-4 2 )=(-5,-4) & M(-13,-4) aligned

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