Mathematics · 2020
JEE Main · 4 September 2020, Shift 2 · Q74
Let PQ be a diameter of the circle x^2+y^2=9. If α and β are the lengths of the perpendiculars from P and Q on the straight line, x+y=2 respectively,…
Let PQ be a diameter of the circle $\displaystyle x^2+y^2=9$. If $\displaystyle \alpha$ and $\displaystyle \beta$ are the lengths of the perpendiculars from P and Q on the straight line, $\displaystyle x+y=2$ respectively, then the maximum value of $\displaystyle \alpha \beta$ is \_\_\_\_.
Official answer
7
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