The line `(x-3)/1=(y-4)/2=(z-5)/2` cuts the plane `x+y+z=17` atA. (3,4,5)B. (4,6,7)C. (4,5,8)D. (8,4,5)

The line `(x-3)/1=(y-4)/2=(z-5)/2` cuts the plane `x+y+z=17` atA. (3,4

1.	The line `(x-3)/1=(y-4)/2=(z-5)/2` cuts the plane `x+y+z=17` atA. (3,4,5)B. (4,6,7)C. (4,5,8)D. (8,4,5)
Answer» Correct Answer - B The coordinates of any point of the given line are given by `(x-3)/1=(y-4)/2=(z-5)/2=lamda` Suppose the given line cuts the given plane at `(lamda+3,2lamda+4,2lamda+5)` This lies on the plane. `:.lamda+3+2lamda+4+2lamda+5=17implieslamda=1` Hence the coordinates of the required point are (4,6,7).

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The line `(x-3)/1=(y-4)/2=(z-5)/2` cuts the plane `x+y+z=17` atA. (3,4,5)B. (4,6,7)C. (4,5,8)D. (8,4,5)

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