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Mathematics · 2025 · 2 marks
CBSE 2025 · Region 3 · Set 1 · Q25
Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
Prove that the tangents drawn at the ends of a diameter of a circle are parallel.
Marking-scheme solution
Tangents \(\displaystyle l\) and \(\displaystyle m\) are drawn at the end points A and B of the diameter AB of the circle
\[\begin{aligned}
& \angle 1=90^{\circ}, \angle 2=90^{\circ} \\
& \therefore \angle 1=\angle 2
\end{aligned}
\]
But these are alternate interior angles.
\[\therefore l \| m
\]
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CBSE Class 10 Mathematics past-paper question from the 2025 board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.