JEE Advanced 2012 Mathematics question

The equation of a plane passing through the line of intersection of the planes x + 2y + 3z = 2 and x − y + z = 3 and at a distance from the point (3, 1, −1) is

(A)5x − 11y + z = 17Correct
(B)
(C)
(D)

Answer: (A)

Solution

Any plane through the line of intersection is , i.e. . Distance from (3, 1, −1): ${{(1 + λ + (2 - λ + (3

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Question ID VK-026104