If the three lines

Question:

If the three lines $x-3 \mathrm{y}=\mathrm{p}, \mathrm{a} x+2 y=\mathrm{q}$ and $\mathrm{a} x+\mathrm{y}=\mathrm{r}$ form a right $-$ angled triangle then:

  1. $a^{2}-6 a-12=0$

  2. $a^{2}-9 a+12=0$

  3. $a^{2}-9 a+18=0$

  4. $a^{2}-6 a-18=0$


Correct Option:

Solution:

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