Home
Class 11
MATHS
If a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b...

If `a\ (1/b+1/c),\ b(1/c+1/a),\ c(1/a+1/b)` are in A.P. prove that `a ,\ b ,\ c` are in A.P.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • BINOMIAL THEOREM

    RD SHARMA ENGLISH|Exercise All Questions|228 Videos

Similar Questions

Explore conceptually related problems

If 1/a ,1/b ,1/c are in A.P. prove that: (b+c)/a ,(c+a)/b ,(a+b)/c are in A.P.

If a,b,c are in A.P. prove that b+c,c+a,a+b are also in A.P.

"If "(1)/(a+b),(1)/(2b),(1)/(b+c) are in A.P., then prove that a, b, c are in G.P.

If (b+c)/a ,(c+a)/b ,(a+b)/c are in A.P., prove that : b c ,\ c a ,\ a b are in A.P.

1/a, 1/b and 1/c are in A.P. Show that bc, ca, and ab are also in A.P.

If a, b, c are in A.P, then show that: b+c-a ,\ c+a-b ,\ a+b-c are in A.P.

If a (b +c), b (c+a) , c (a +b) are in A.P. , prove that (1)/(a), (a)/(b), (1)/(c ) are also ln A.P.

If (1)/(b+c),(1)/(c+a),(1)/(a+b) are in A.P., then

If a ,\ b ,\ c are in A.P. b ,\ c ,\ d are in G.P. and 1/c ,1/d ,1/e are in A.P. prove that a ,\ c ,\ e are in G.P.?

If (b+c-a)/a ,(c+a-b)/b ,(a+b-c)/c , are in A.P., prove that 1/a ,1/b ,1/c are also in A.P.