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If the abscissae and the ordinates of tw...

If the abscissae and the ordinates of two point `Aa n dB` be the roots of `a x^2+b x+c=0a n da^(prime)y^2+b^(prime)y=c^(prime)=0` respectively, show that the equation of the circle described on `A B` as diameter is `a a^(prime)(x^2+y^2)+a^(prime)b x+a b^(prime)y+(c a^(prime)+ca)=0.`

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Verified by Experts

The correct Answer is:
`an' (x^(2) + y^(2)) + a' bx + ab' y + (ca' + c' a) = 0.` which is true.
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MODERN PUBLICATION-CONIC SECTIONS -EXAMPLE
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