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CGP EDU Academic Team
Published on: August 13, 2026
L : 
P 1 : x + 2y + 3z = 14
P 2 : 2x – y + 3z = 27
(i) Line L meets the plane P 1 at point P( α , β , γ ) then α + β + γ is
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Ans.
(i)
Sol. Any point on line is (2r – 1, 3r – 1, 4r – 1) which lies on the plane P 1 ⇒ r = 1 hence ( α , β , γ ) ≡ (1,2,3)
(ii)
Sol. equation of line is 
(iii)
Sol. Any point on line L 1 is (r + 1, 2r + 2, 3r + 3)
it lies on the plane P 2 ⇒ r = 2 hence point is (3,6,9)
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