please answer this question
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here is your answer. i know how to solve it but it will be much better for you i think
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hope it helps u
Step-by-step explanation:
let BQ be a and QD be b. In triangle ABD, PQ||AB, by basic proportionality theorem,
=>PQ/AB=QD/BD i.e. z/x=b/(a+b)-------i
And, in triangle BCD, PQ||CD, by basic proportionality theorem,
PQ/CD i.e. z/y=a/(a+b)--------ii
hence, on adding i and ii
(z/x)+(z/y)=b/(a+b)+ a/(a+b)
=>z(1/x + 1/y)=a+b / a+b
=>1/x + 1/y = 1/z
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