Question: Two sides of a rhombus are along the lines, x – y + 1 = 0 and 7x – y – 5 = 0. If its diagonals intersect at (–1, –2), then which one of the following is a vertex of this rhombus ?
$\left(-\frac{10}{3},-\frac{7}{3}\right)$
$(-3,-9)$
$(-3,-8)$
$\left(\frac{1}{3},-\frac{8}{3}\right)$
Correct Option: , 4
Solution: