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Question

O is any point on the bisector of the acute angle XYZ. The line OPZY. Then, YPO is an isosceles right-angled triangle.


A

Scalene

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B

Isosceles but not right angled

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Solution

The correct option is B

Isosceles but not right angled


POY = ZYO (alt. s) = PYO.

So, PY = PO.

Now, XYZ < 90

POY < 45 PYO < 45

YPO > 90

Hence, Δ YPO is an isosceles but not a right angled triangle.


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