Question

If a, b, c are three distinct real numbers in G.P. and a + b + c = xb, then prove that either
X<-1 or x > 3.
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23. If p, 9th and r terms of an A.P. and G.P. are both a, b and c respectively, show that
b-coc-a ah​

Answer 1

Answer:

If a,b,c are three distinct real numbers in G.P. and a+b+c=xb, then prove that either x < -1 or x > 3. Now, we know, m+1m>2 or m+1m<-2. ∴√ac+√ca>2or√ac+√ca<-2.