Question

If a, b, c are in A.P. then $\mathrm { a } + \frac { 1 } { \mathrm { bc } } , \mathrm { b } + \frac { 1 } { \mathrm { ca } } , \mathrm { c } + \frac { 1 } { \mathrm { ab } }$ are in:

• A. A.P.
• B. G.P.
• C. H.P.
• D. None of these

Answer 1

Answer: (A)

A.P.

Answer 2

a b c in AP

Sol. Divide by abc, $\frac { 1 } { \mathrm { bc } } , \frac { 1 } { \mathrm { ca } } , \frac { 1 } { \mathrm { ab } }$ in A.P.

add by a, b, c respectively

a + $\frac { 1 } { \mathrm { bc } } , \mathrm { b } + \frac { 1 } { \mathrm { ca } } , \mathrm { c } + \frac { 1 } { \mathrm { ab } }$ in A.P. (sum of two A.P.’s)