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CGP EDU Academic Team
Published on: August 14, 2026
Equation of the plane passing through the point of intersection of the line 
and 
and perpendicular to the line 
is
Text Solution
Verified by ExpertsThe correct answer is:
C
2x + 3y + z - 22 = 0
Any general point on the line
is 
For the point of intersection, this point must satisfy 
Hence, 
So, the point is (4,3, 5)
Also, a vector parallel to 
is 
Hence, the equation of the required plane is 2 (x - 4) + 3 (y - 3) + 1 (z - 5) = 0
2x + 3y + z - 22 = 0
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