Q. 143.8( 10 Votes )

The sides of a re

Answer :

The intersection points in clockwise fashion are:( - 2, 5), (4, 5), (4, - 2), ( - 2, - 2).


The equation of a circle passing through the coordinates of the end points of diameters is:


(x - x1) (x - x2) + (y - y1)(y - y2) = 0


Substituting, values:(x1, y1) = ( - 2, 5) & (x2, y2) = (4, - 2)


We get:


(x + 2)(x - 4) + (y - 5)(y + 2) = 0


x2 - 4x + 2x - 8 + y2 + 2y - 5y - 10 = 0


x2 + y2 - 2x - 3y - 18 = 0



Ans:x2 + y2 - 2x - 3y - 18 = 0


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