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JEE Math Practice 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. A.$$\left( {{{ 1} \over 3}, - {8 \over 3}} \right)$$
  2. B.$$\left( - {{{ 10} \over 3}, - {7 \over 3}} \right)$$
  3. C.$$\left( { - 3, - 9} \right)$$
  4. D.$$\left( { - 3, - 8} \right)$$

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