If x(1), x(2), x(3) as well as y(1), y(2...

If `x_(1), x_(2), x_(3)` as well as `y_(1), y_(2), y_(3)` are in GP, with the same common ratio, then the points `(x_(1),y_(1)), (x_(2),y_(2))` and `(x_(3), y_(3))`

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The correct Answer is:

Line `L:(x+7)/(a)=(y-y_(1))/(-b)=(z-z_(1))/(c)`
`(-7,y,z_(1))` lie on plane `P_(1)`
`implies-3y_(1)+z_(1)=9` ,…(1)
Line L lies on plate `P_(2)`
`impliesa+4b+14c=0` ..(2)
Also `(-7,y_(1),z_(1))` lies on `P_(2)`
`implies-4y_(1)-14z_(1)=12` .. (3)
Form (1) and (3)
Line passes through `(-7,-3,0)`
Least value of a,b,c is `a=2,b=3,c=1`
(from (2))

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