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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. (–3, –9)
2. (–3, –8)
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 8 – , 3 1
4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 7 – , 3 10 –

Correct answer: ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 8 – , 3 1

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