AP EAPCET 19-Aug-2021 Shift 2 Paper

Equation of plane containing line of intersection of the given planes is
(x−2y+z+2)+λ(3x−y−z+1)=0
This plane also passes through (1,1,1).
∴(1−2+1+2)+λ(3−1−1+1)=0
⇒λ=−1
∴ Required plane 2x+y−2z−1=0
x-intercept of these plane is (x,0,0)
⇒2x−1=0
x=

1

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