Q. 184.3( 110 Votes )

P (a, b) is

Answer :

Let AB be a line segment whose midpoint is P (a, b).


Let the coordinates of A and B be (0, y) and (x, 0) respectively.


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We know that the midpoint formula is given by .


Since P is the midpoint of (a, b),




a = x/2 and b = y/2


x = 2a and y = 2b


A = (0, 2b) and B = (2a, 0)


We know that the equation of the line passing through the points (x1, y1) and (x2, y2) is given by





a (y 2b) = -bx


ay 2ab = -bx


bx + ay = 2ab


Dividing by ab on both sides,




Ans. The equation of line is .


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