Q.206.

Question 206.
a (p+q)^2 + 2bpq + c = 0 and a (p+r)^2 + 2bpr + c = 0,
then find the value of qr.

Answer 206.
a (p+q)^2 + 2bpq + c = 0 and a (p+r)^2 +2bpr + c = 0

=> aq^2 + 2p(a+b)q + ap^2 + c = 0
and ar^2 + 2p(a+b)r + ap^2 + c = 0

=> q and r are the roots of the equation
ax^2 + 2p(a+b)x + ap^2 + c = 0
=> qr = (ap^2 + c) / a.

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