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If the equations ax + by = 1 and cx^2 +d...

If the equations `ax + by = 1` and `cx^2 +dy^2=1` have only one solution, prove that `a^2/c+ b^2/d = 1` and `x=a/c`,`y=b/d`

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
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