A) \[\left( \frac{8}{15},-\frac{1}{5} \right)\]
B) \[\left( \frac{1}{5},-\frac{8}{15} \right)\]
C) \[\left( -\frac{8}{15},\frac{1}{5} \right)\]
D) \[\left( -\frac{1}{5},\frac{8}{15} \right)\]
Correct Answer: B
Solution :
Let the direction ratios of the common line be \[\ell \], wand n. \[\therefore \]\[\ell \times 1+m\times 0+n\times 0=0\Rightarrow \ell =0\] ?(1) \[2\ell -5ma+3n=0\Rightarrow 5ma-3n=0\] ?(2) \[3\ell b+m-3n=0\Rightarrow m-3n=0\] ?(3) Subtracting (3) from (1), we get\[m(5a-1)=0\] Now, value of m can not be zero because if w = 0 then w = 0\[\Rightarrow \ell =m=n=0\] which is not possible. Hence, \[5a-1=0\Rightarrow a=\frac{1}{5}\] Thus, option (b) is correct.You need to login to perform this action.
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