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
- A(-4,-4)
- B(-13,-4)
- C(-4,-13)
- 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