Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let a, b and c be the sides of a Δ ABC. If a 2 , b 2 and c 2 are the roots of the equation
x 3 – Px 2 + Qx – R = 0, where P, Q & R are constants, then find the value of
+
+
in terms of P, Q and R.
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.

Sol. x 3 – Px 2 + Qx – R = 0 
∴ a 2 + b 2 + c 2 = P
a 2 b 2 + b 2 c 2 + c 2 a 2 = Q
a 2 b 2 c 2 = R ⇒ abc = 
+
+
=
[a 2 + b 2 + c 2 ] = 
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