JEE Main 2022 Mathematics question
The acute angle between the planes and , when and are the planes passing through the intersection of the planes 5x + 8y + 13z − 29 = 0 and 8x − 7y + z − 20 = 0 and the points (2, 1, 3) and (0, 1, 2), respectively, is
Answer: (1)
Solution
The family of planes is passes through (2, 1, 3): , so and , giving the normal (33, −33/2,
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