JEE Main 2022 Mathematics question
A plane E is perpendicular to the two planes 2x − 2y + z = 0 and x − y + 2z = 4, and passes through the point P(1, −1, 1). If the distance of the plane E from the point Q(a, a, 2) is , then is equal to
Answer: (3)
Solution
The normal of E is , −2, , −1, 2) = (−3, −3, 0). The plane through P(1, −1, 1) is −3(x − 1) − 3(y + 1) = 0, i.e. x + y = 0. The
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