# Urgent!!!!!If p,q,r are not in G.P an d if detminant of given matrix is zero [ 1 q/p α+q/p 1 r/q α +r/q pα+q qα+r 0]then prove that pα^2+2pα+r=0

the given determinant is $\left|\begin{array}{c}1\\ 1\\ pa+q\end{array}\begin{array}{c}q/p\\ r/q\\ qa+r\end{array}\begin{array}{c}a+\left(q/p\right)\\ a+\left(r/q\right)\\ 0\end{array}\right|=0$

if  but it is given that p,q and r are not in GP
therefore

hope this helps you

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