JEE Main 2022 Mathematics question
Let P(−2, −1, 1) and Q(56/17, 43/17, 111/17) be the vertices of the rhombus PRQS. If the direction ratios of the diagonal RS are , −1, , where both and are integers of minimum absolute values, then is equal to .
Answer: 450
Solution
The direction ratios of the diagonal PQ are (56/17 + 2, 43/17 + 1, 111/17 − 1) = (90/17, 60/17, 94/17) , 30, 47). The diagonals of a rhombus are perpendicular, so $45α
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