InterviewSolution
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InterviewSolution
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The equations of two straight lines are `(x-1)/2=(y+3)/1=(z-2)/(-3)` and `(x-2)/1=(y-1)/(-3)=(z+3)/2` Statement 1: The given lines are coplanar. Statement 2: The equations `2r-s=1` `r+3s=4` `3r+2s=5` are consistent.A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.C. Statement-1 is True, Statement-2 is False.D. Statement-1 is False, Statement-2 is True. |
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Answer» Correct Answer - A The coordinates of arbitrary positions of the given lines are `(2r+1,r-3,-3r+2)` and `(s+2,-3s+1,2s-3)` respectively. Given lines will intersect (be coplanar) if `2r+1=s+2,r-3=-3s+1` and `-3r+2=2s-3` are conistent i.e `2r-s=1,r+3s=4` and `3r+2s=5` are consistent. Clearly, values of `r` and `s` obtain from any two equations satisfy the third equation. So, these equations are consistent. Hence, both the statements are true and statement -2 is a correct explanation for statement -1. |
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