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A moving straight line always passes through a fixed point `(alpha,beta)`.Prove that the locus of the middile point of the portion of the line intercepted between the axes is `alpha/x+beta/y=2`

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UNITED BOOK HOUSE-ANNUAL EXAMINATION QUESTION PAPERS 2015-EXERCISE
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  9. Prove that (2sqrt3+sqrt5) is an irrational number. Also check whether...

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