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Question

In the given figure, if PB || CF and DP || EF, then ADDE=

(a) 34
(b) 13
(c) 14
(d) 23

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Solution

Given: PB||CF and DP||EF. AB = 2 cm and AC = 8 cm.

To find: AD: DE

According to BASIC PROPORTIONALITY THEOREM, if a line is drawn parallel to one side of a triangle intersecting the other two sides, then it divides the two sides in the same ratio.

In ∆ACF, PB || CF.

.....(1)

Again, DP||EF.

Hence we got the result .


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