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Question

ABCD is a parallelogram with diagonal AC. If a line XZ is drawn such that XZAB and cuts AC at Y then, findBXXC.


A

AYAC

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B

DZAZ

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C

AZZD

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D

ACAY

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Solution

The correct option is C

AZZD


In the Δ ABC,

ABXZ

ABXY

BXXC=AYYC....(1) [by BPT]

In parallelogram ABCD,
AB CD

AB CD XZ

In the Δ ACD,
CD YZ

AYYC=AZZD....(2) [By BPT]

From 1 & 2,
BXXC=AYYC=AZZD

BXXC=AZZD


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