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begin mathsize 12px style If space three space points space left parenthesis straight p comma space 0 right parenthesis comma space left parenthesis straight r comma space straight s right parenthesis space and space left parenthesis 0 comma space straight q right parenthesis space lie space on space line comma space show space that space straight r over straight p plus straight s over straight q equals 1. end style


Asked by Topperlearning User 28th September 2017, 8:46 AM
Answered by Expert
Answer:

Let the given points be D(p, 0), E(r, s) and F(0, q)

Since the points lie on the same line, 

Slope of DE = Slope of EF               

Slope of DE = begin mathsize 12px style fraction numerator straight s space minus space 0 over denominator straight r space minus space straight p end fraction space equals space fraction numerator straight s over denominator straight r space minus space straight p end fraction end style
Slope of EF = begin mathsize 12px style fraction numerator straight q space minus space straight s over denominator 0 space minus space straight r end fraction space equals negative space fraction numerator straight q space minus space straight s over denominator straight r end fraction end style

Answered by Expert 28th September 2017, 10:46 AM
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