Mathematics · 2022
JEE Main · 25 June 2022, Shift 1 · Q24
Let the abscissae of the two points P and Q be the roots of 2 x^2- r x+ p =0 and the ordinates of P and Q be the roots of x^2- s x- q =0. If the…
Let the abscissae of the two points P and Q be the roots of $\displaystyle 2 x^2-\mathrm{r} x+\mathrm{p}=0$ and the ordinates of P and Q be the roots of $\displaystyle x^2-\mathrm{s} x-\mathrm{q}=0$. If the equation of the circle described on PQ as diameter is $\displaystyle 2\left(x^2+y^2\right)-11 x-14 y-22=0$, then $\displaystyle 2 \mathrm{r}+\mathrm{s}-2 \mathrm{q}+\mathrm{p}$ is equal to \_\_\_\_.
Official answer
7
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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.