If A = (0, 0, 2), B = ( 2, 2, 2), C = ( 2, 2, 0) and D = ( 8 2 - 20 17 , 12 2 + 4 17 , 20 - 8 2 17 ) then ABCD is a

JEE Advanced Mathematics question

If , , and

D = (, , )

then is a

Answer: (D)

and . The plane through contains the directions and and passes through , so its equation is . For , and \frac{12\sqrt2 + 4}{17}$ ≈

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Question ID VK-109816