IIT JEE , AIEEE Forum - Mathematics , Analytical Geometry - co-ordinate

master_purav

Let the roots of equation whose roots are absissa be A1 and A2 and the roots of other eq are B1 and B2.

Now (A1-A2)^2 = (Sum of Roots )^2 - 4(Product of Roots)
= 4a^2 + 4b^2

Similarly (B1-B2)^2 = 4c^2 - 4d^2

Now PQ = Sqrt [ {A1-A2}^2 + {B1 - B2}^2]

Substituting values from above

PQ=2*Sqrt [a^2 + b^2 + c^2 - d^2]

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