Question
Question: If T<sub>n</sub> denotes the n<sup>th</sup> term of an A.P. and T<sub>p</sub>= \(\frac{1}{q}\), T<su...
If Tn denotes the nth term of an A.P. and Tp= q1, Tq = p1then which of the following is necessarily a root of the equation (p + 2q –3r) x2 + (q + 2r –3p) x +(r + 2p –3q) = 0 ?
A
Tp
B
Tq
C
Tpq
D
Tp+q
Answer
Tpq
Explanation
Solution
As p + 2q –3r + q +2r –3p + r +2p – 3q = 0
\ x = 1 is the root of the equation.