Question
If the lines represented by 2x²-5xy+2y² =0 , be the two sides of a || gm and the line 5x+2y=1 be one of teh diagonals. then the equation of the other diagonal is ?
Joshi sir comment
2x²-5xy+2y² =0
=> (x-2y)(2x-y) = 0
these 2 lines pass through origin so one of the diagonal will definitely pass through origin. Given diagonal does not contain origin so second diagonal will pass through origin.
For finding any other point in the second diagonal first solve the two lines with given diagonal one by one. After calculating the two vertax use the formula for middle point of given diagonal. This point will be present in the second diagonal also.