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A line L_(1) with direction ratios -3,2,4 passes through the point A(7,6,2) and a line L_(2) with directions ratios 2,1,3 passes through the point B(5,3,4). A line L_(3) with direction ratios 2,-2,-1 intersects L_(1) and L_(3) at C and D, resectively.The equation of the plane parallel to line L_(1) and containing line L_(2) is equal to |
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Answer» `x+3y+4z=30` `a(x-5)+b(y-3)+c(z-4)=0` `a(x-5)+b(y-3)+c(z-4)=0` `THEREFORE 2a+b+3c=0` and `-3+2b+4c=0` `RARR a/-2=b/-17=c/7` So, required PLANE is `2x+17y-7z=33`. |
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