The equation of the plane through the intersection of the planes x+y+z=1 and 2x+3y-z+4=0 and parallel to x – axis is

MHT CET 2022 Mathematics question

The equation of the plane through the intersection of the planes and and parallel to – axis is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

The plane through the intersection is , i.e. . It is parallel to the -axis (direction ) when the coefficient of is : . Substituting: \dfrac\dfrac$32z-3=0⇒

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Question ID VK-094487