Saved Bookmarks
| 1. |
If `a,b,c` are in AP and `A,B,C` are in G.P. (Common ratio `!=1`). Then which of the following is/are correctA. `A/a,B/b,C/c` are in HP if common of GP is `c//a`B. `a/A,b/B,c/C` are in HP if common ratio of GP is equal to common difference of APC. `(A^(2))/a,(B^(2))/b,(C^(2))/c` are in HP if common ratio of GP is `sqrt(c/a)`D. `a/(A^(2)),b/(B^(2)),c/(C^(2))` are in HP if common ratio of GP is equal to square root of common difference of AP. |
|
Answer» Correct Answer - A::B::D `A/a,B/b,C/c HP` `=(2b)/B=a/A+c/C` `implies2bB=aC+cA` `impliesaB+cB=aC+cA` `impliesa[B-C]=c[A-B]` so `r=c/a` `(A^(2))/a,(B^(2))/b,(C^(2))/c` are in `HPimpliesr^(2)=c/a` |
|