A) \[21,\,\frac{5}{3},\frac{10}{3}\]
B) \[(\,2,\,10,\,4)\]
C) \[(-3,\,3,\,6)\]
D) \[(5,\,7,\,-2)\]
Correct Answer: A
Solution :
Given lines are, \[\frac{x-5}{3}=\frac{y-7}{-1}=\frac{z+2}{1}={{r}_{1}}\], (say) and \[\frac{x+3}{-36}=\frac{y-3}{2}=\frac{z-6}{4}={{r}_{2}}\], (say) \[\therefore \]\[x=3{{r}_{1}}+5=-36{{r}_{2}}-3\], \[y=-{{r}_{1}}+7=3+2{{r}_{2}}\] and \[z={{r}_{1}}-2=4{{r}_{2}}+6\] On solving, we get \[x=21,\,y=\frac{5}{3},\,z=\frac{10}{3}\]. Trick: Check through options.
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