JEE Main 2022 Mathematics question
If the plane 2x + y − 5z = 0 is rotated about its line of intersection with the plane 3x − y + 4z − 7 = 0 by an angle of , then the plane after the rotation passes through the point :
Answer: (3)
Solution
The rotated plane is a member of the family , i.e. + (−5 + . It is perpendicular to the
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