Find the equation of line through (...
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Find the equation of line through (- 4,1, 3) & parallel to the plane x + y + z = 3 while the line intersects another line whose eqution is sex+4 y-1 2-3 x + y - z= x + 2y – 3z + 5 (a) - - 2 x + 4y - 1 2 - 3x + 4y - 1 2 - 3 (d) 2 -3 1 -3 2 1 - (c) -

JEE/Engineering Exams
Maths
Solution
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Wegrof plane we, ( (x+y-z)+lambda(x+2 y-3 z+5)=0 ) Passes through ( (-1,1,3), ) thea ( (-4+1-3)+lambda(-4+2-9+5)=0 ) ( Rightarrow quad-6-frac{6 lambda}{12-1} ) Eg" of plowe ( (x+y-z)+4+(x+2 y-3 z+5)=0 ) ( -y+2 z-5=8 ) Dir" ratio (parallel to ( x+y+z=3 ) ( hat{v}=left[begin{array}{lll}bigcap & j & k 1 & 1 & 1 0 & 4 & -2end{array} mid=-3 hat{i}+2 hat{j}+hat{k}right. ) ( frac{59^{n} text { of } ln 0}{1} ) ( frac{x+4}{-3}=frac{y-1}{2}=frac{z-3}{1} ) twe
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