Question

If points (h, k) $(1,2)$ and $(-3,4)$ lie on line $L_1$ and points (h, k) and $(4,3)$ lie on $L_2$. If $L_2$ is perpendicular to $L_1$, then value of $\frac{h}{k}$ is?

• A. $-\frac{1}{7}$
• B. $\frac{1}{3}$
• C. $3$
• D. $7$

Answer 1

Answer: (C)

$3$

$L_1:(y-2)=-\frac{1}{2}(x-1)=x+2y-5=0$
$L_2:(y-3)=2(x-4)=2x-y-5=0$
put h, k in both lines
$(h,k)=(3,1)\Rightarrow \frac{h}{k}=3$.