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Question

In the given figure, DE||AC, DC||AP,BC=4 cm and BP=6 cm.

Find the value of BEEC.


A
1 : 2
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B
2 : 1
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C
1 : 3
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D
3 : 1
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Solution

The correct option is B 2 : 1
Given: DE || AC.

Applying BPT to BAC we get ,

BEEC=BDDA(i)

Also, it is given that DC || AP.

Applying BPT to BAP we get ,

BCCP=BDDA(ii)

From (i) and (ii), we getBEEC=BCCP

We know that, CP = BP - BC
BEEC=BCBPBC

Given: BC=4 cm and BP=6 cm.
BEEC=464=21

BE:EC=2:1

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