A) \[\left( \frac{37}{10},-\frac{1}{10} \right)\]
B) \[\left( -\frac{1}{10},\frac{37}{10} \right)\]
C) \[\left( \frac{10}{37},-10 \right)\]
D) \[\left( \frac{2}{3},-\frac{1}{3} \right)\]
Correct Answer: B
Solution :
Equation of perpendicular line \[-y+3x+4=0\]is \[3y+x+\lambda =0\] Also, it passes through (2, 3). \[\therefore \] \[9+2+\lambda =0\] \[\Rightarrow \] \[\lambda =-11\] \[\therefore \]Equation of line is \[3y+x-11=0\] \[\therefore \]Equation of intersection is \[x=-\frac{1}{10}\]and\[y=\frac{37}{10}\]
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