Jee Main
Straight Lines And Pair Of Straight Lines
JEE Main 2022 (Online) 26th July Morning Shift
INTEGER+4 / -12022
The equations of the sides \(\mathrm{AB}, \mathrm{BC}\) and \(\mathrm{CA}\) of a triangle \(\mathrm{ABC}\) are \(2 x+y=0, x+\mathrm{p} y=15 \mathrm{a}\) and \(x-y=3\) respectively. If its orthocentre is \((2, a),-\frac{1}{2}<\mathrm{a}<2\), then \(\mathrm{p}\) is equal to ______________.