JEE Advanced 2026 Mathematics question
Let P be the plane such that it contains the straight line and is perpendicular to the plane x + 2y + 3z = 4 . Let be the plane which passes through the point (4, 2, 2) and is parallel to P . Then which of the following statements is (are) TRUE ?
Answer: (A),(D)
Solution
The normal of P is perpendicular to the line direction (2, 3, 1) and to (1, 2, 3): . Through (1, 3, −2): 7(x − 1) − 5(y − 3) + (z + 2) = 0, i.e. 7x − 5y + z = −10 (A true). : 7x − 5y + z = 28 − 10 + 2 = 20. Distance
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