JEE Main & Advanced
JEE Main Paper (Held on 08-4-2019 Afternoon)
question_answer
Suppose that the points (h, k), (1,2) and (-3,4) lie on the line \[{{L}_{1}}\]. If a line \[{{L}_{2}}\] passing through the points (h, k) and (4,3) is perpendicular to \[{{L}_{1}}\], then \[\frac{k}{h}\]equals : [JEE Main 8-4-2019 Afternoon]
A)3
B)\[-\frac{1}{7}\]
C)\[\frac{1}{3}\]
D) 0
Correct Answer:
C
Solution :
equation of\[{{L}_{1}}\]is \[y=-\frac{1}{2}x+\frac{5}{2}\] ...(1) equation of \[{{L}_{2}}\] is \[y=2x-5\] ..(2) by (1) and (2) \[x=3\] \[y=1\Rightarrow h=3,k=1\] \[\frac{k}{h}=\frac{1}{3}\]