question_answer

Let L be the line passing through the point P(1, 2) such that its intercepted segment between the co-ordinate axes is bisected at P. If \[{{L}_{1}}\] is the line perpendicular to L and passing through the point (-2, 1),then the point of intersection of I and L JEE Main Online Paper (Held On 10 April 2015)

A) \[\left( \frac{3}{5},\frac{23}{10} \right)\]                              

B) \[\left( \frac{11}{20},\frac{29}{10} \right)\]

C) \[\left( \frac{4}{5},\frac{12}{5} \right)\]                

D) \[\left( \frac{3}{10},\frac{17}{5} \right)\]

Correct Answer: C

Solution :

                 Equation of line L \[\frac{x}{2}+\frac{y}{4}=1\]       \[2x+y=4\]          ?..(1) 4 line                     \[x-2y=-4\]         ?.(2) solving there two\[\left( 4/5,\frac{12}{5} \right)\]