Most Important Selected Qs for JEE AdvancedMathematicsThree Dimensional Geometry

If the coordinates of the point where the line x-2 y+z-1=0=x+2 y-2 z-5 intersects the plane x+y-2 z=7 is ( , , ) , then find the value of (| |+| |+| |) .

Correct answer

Step-by-step solution

The required point is the point of intersection of the three planes. aligned & x+y-2 z=7 ...(1) & x-2 y+z=1 ...(2) & x+2 y-2 z=5 ...(3) aligned From (3)-(1) y =-2 From 2 (2)+(1) 3 x -3 y =9 x=1 So, from (1), z=-4 Hence the point is (1,-2,-4)=( , , ) Hence | |+| |+| |=|1|+|-2|+|-4|=7

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