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If p, q, r are in G.P. and the equation...

If p, q, r are in G.P. and the equations, `p x^2+2q x+r=0`and `dx^2+2e x+f=0`have a common root, then show that `d/p`,`e/q`,`f/r`are in A.P.

Text Solution

Verified by Experts

It is given that `p,q,r` are in `G.P`
`:. q^2=pr=>q=sqrtpr`
Now, `px^2+2qx+r=0`
`=>px^2+2sqrt(pr)x+r=0`
...
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