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Mathematics · 2023 · 2 marks
CBSE 2023 · Region 6 · Set 2 · Q24
Find the points on the x -axis, each of which is at a distance of 10 units from the point A(11, - 8).
Find the points on the $\displaystyle x$-axis, each of which is at a distance of $\displaystyle 10$ units from the point A$\displaystyle (11, - 8)$.
Marking-scheme solution
Let the point on x-axis be P(x, $\displaystyle 0$)
\[\begin{aligned}
& P A=10 \Rightarrow P A^{2}=100 \\
& (x-11)^{2}+(0+8)^{2}=100 \\
& (x-11)^{2}=100-64=36 \\
& x-11=6,-6 \\
& x=17,5
\end{aligned}
\]
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CBSE Class 10 Mathematics past-paper question from the 2023 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.