If `a ,b ,c` are in G.P., prove that: 1) `a(b^2+c^2)=c(a^2+b^2)` , 2) `A^2b^2c^2(1/(a^3)+1/(b^3)...

1,847 views · Published 21 June 2018 · 12:24 · Indexed 22 September 2026

Channel: Doubtnut · 2018 · Education

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This is the Solution of Question From RD SHARMA book of CLASS 11 CHAPTER SEQUENCES AND SERIES This Question is also available in R S AGGARWAL book of CLASS 11 You can Find Solution of All Question From RD SHARMA and R S AGGARWAL book from class 6-12 on our app DOUBTNUT for Free



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==== QUESTION TEXT ====

If `a ,b ,c` are in G.P., prove that: 1) `a(b^2+c^2)=c(a^2+b^2)` , 2) `A^2b^2c^2(1/(a^3)+1/(b^3)+1/(c^3))=a^3+b^3+c^3` , 3) `((a+b+c)^2)/(a^2+b^2+c^2)=(a+b+c)/(a-b+c)` , 4)`1/(a^2-b^2)+1/(b^2)=1/(b^2-c^2)` ,5) (a+2b=2c)(a-2b+2c)`=a^2+4c^2dot`

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