Mathematics · 2013
JEE Main · 9 April 2013, Shift 1 · Q83
If the three lines x-3 y= p, a x+2 y= q and a x+y= r form a right - angled triangle then:
If the three lines $\displaystyle x-3 y=\mathrm{p}, \mathrm{a} x+2 y=\mathrm{q}$ and $\displaystyle \mathrm{a} x+y=\mathrm{r}$ form a right - angled triangle then :
Official answer
(1)
$\displaystyle a^2-9 a+18=0$
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JEE Main 2013 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.