Suppose that the points (h, k),(1,2) and


Suppose that the points $(h, k),(1,2)$ and $(-3,4)$ lie on the line $\mathrm{L}_{1}$. If a line $\mathrm{L}_{2}$ passing through the points $(h, k)$ and $(4,3)$ is perpendicular to $\mathrm{L}_{1}$, then $\frac{\mathrm{k}}{\mathrm{h}}$ equals :

  1. 3

  2. $-\frac{1}{7}$

  3. $\frac{1}{3}$

  4. 0

Correct Option: , 3


equation of $L_{1}$ is

$y=-\frac{1}{2} x+\frac{5}{2}$ .........(1)

equation of $\mathrm{L}_{2}$ is

$y=2 x-5$  ..........(2)

by $(1)$ and $(2)$


$\mathrm{y}=1 \Rightarrow \mathrm{h}=3, \mathrm{k}=1$


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