Mathematics · 2021
JEE Main · 27 August 2021, Shift 1 · Q86
Let the equation x^2+y^2+ p x+(1- p ) y+5=0 represent circles of varying radius r ∈(0,5]. Then the number of elements in the set S ={ q: q = p^2. and…
Let the equation $\displaystyle x^2+y^2+\mathrm{p} x+(1-\mathrm{p}) y+5=0$ represent circles of varying radius $\displaystyle \mathrm{r} \in(0,5]$. Then the number of elements in the set $\displaystyle \mathrm{S}=\left\{\mathrm{q}: \mathrm{q}=\mathrm{p}^2\right.$ and q is an integer $\displaystyle \}$ is \_\_\_\_.
Official answer
61
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.