Q. 29 A5.0( 3 Votes )

Find the coordina

Answer :

Equation of line through two given points is





Also equation of plane through three points is-




(x-1)(12) - (y-2)(-6) + (z-3)(6) = 0


12x-12+6y-12+6z-18 = 0


12x+6y+6z-42 = 0


2x+y+z-7 = 0


The coordinates of the any point which lies on the line is


[(3-λ), (λ-4), (6λ-5)].


This point will also lie on the plane because the line crosses the plane. therefore, it will satisfy equation (2)-


2(3-λ) + (λ-4) + (6λ-5) - 7 = 0


6-2λ+λ-4+6λ-5-7 = 0


5λ-10 = 0


5λ = 10


λ = 2


Hence required coordinates are-


x = 1, y = -2, z = 7


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