1.

Ifthe straight lines `(x-1)/k=(y-2)/2=(z-3)/3`and `(x-2)/3=(y-3)/k=(z-1)/2`intersect at a point, then the integer k isequal to(1)`-5`(2) 5(3) 2(4) `-2`A. `2`B. `-2`C. `-5`D. `5`

Answer» Correct Answer - C
If given lines intersect, then they are coplanar.
`:.|(1-2,2-3,3-1),(k,2,3),(3,k,2)|=0`
`implies-(4-3k)+(2k-9)+2(k^(2)=6)=0`
`implies2k^(2)+5k-25=0implies(k+5)(2k-5)=0impliesk=-5,5//2`.


Discussion

No Comment Found

Related InterviewSolutions