8. In the given figure, OMNP is a square. A circle drawn with centre O cuts
the square in X and Y. Prove that NX = NY.
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Answer:
Shown that NX = NY
Step-by-step explanation:
Between ΔOXN and ΔOYN
OX = OY [radius of same circle]
ON is the common side.
And the Angles between them ∠NOX = ∠NOY
[∵ Diagonal of square bisects the angles]
∴ ΔOXN ≅ ΔOYN
∴ NX = NY
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