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Question

YA is the bisector of XYZ. O is any point on YA. If OP is parallel to YZ, then YPO is _____.


A

Scalene

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B

Isosceles

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C

Equilateral

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D

Isosceles Right Angled

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Solution

The correct option is B

Isosceles


(i) XYA=AYZ.....

(given, YA is the bisecter of XYZ

(ii) POY=AYZ... (alternate angles)

(iii) PYO=PYO... (from (i) and (ii))

(iv) Δ PYO is isosceles


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