1.

If the lines (x-1)/-3 = (y-2)/(2k) = (z-3)/2 and (x-1)/(3k) = (y-1)/1 = (z-6)/-5 are perpendicular, then find the value of k.

Answer»


Answer :The direction RATIOS of the two lines are -3, 2k, 2 and 3k, 1, -5 respectively
SINCE the lines are perpendicular, `-3xx3k+2kxx1+2xx-5=0`
`rArr` -9k+2k-10=0
`rArr` 7k=-10 `rArr = (-10)/7`


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