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Mathematics · 2022

JEE Main · 25 July 2022, Shift 2 · Q10

Let the point P(α, β) be at a unit distance from each of the two lines L_1: 3 x-4 y+12=0, and L_2: 8 x+6 y+11=0. If P lies below L_1 and above L_2,…

Let the point $\displaystyle P(\alpha, \beta)$ be at a unit distance from each of the two lines $\displaystyle L_1: 3 x-4 y+12=0$, and $\displaystyle L_2: 8 x+6 y+11=0$. If $\displaystyle P$ lies below $\displaystyle L_1$ and above $\displaystyle L_2$, then $\displaystyle 100(\alpha+\beta)$ is equal to
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