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Mathematics · 2026 · 2 marks
CBSE 2026 · Region 2 · Set 3 · Q21
If the distance between the points (4, p) and (1, 0) is 5, what is the value of p?
If the distance between the points ($\displaystyle 4$, p) and $\displaystyle (1, 0)$ is $\displaystyle 5$, what is the value of p ?
Marking-scheme solution
\(\displaystyle \sqrt{(4-1)^{2}+(\mathrm{p}-0)^{2}}=5\)
\(\displaystyle \Rightarrow 9+\mathrm{p}^{2}=25\)
\(\displaystyle \Rightarrow \mathrm{p}= \pm 4\)
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