Two sides of a rhombus are along the lines,
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 ? 

  1. $\left(-\frac{10}{3},-\frac{7}{3}\right)$

  2. $(-3,-9)$

  3. $(-3,-8)$

  4. $\left(\frac{1}{3},-\frac{8}{3}\right)$


Correct Option: , 4

Solution:


Clearly $\left(\frac{1}{3},-\frac{8}{3}\right)$ lies on (1)

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