Home
Class 12
MATHS
If (a+b)/(1-ab),b,(b+c)/(1-bc) are in AP...

If `(a+b)/(1-ab),b,(b+c)/(1-bc)` are in AP, then `a,(1)/(b),c` are in

Text Solution

Verified by Experts

The correct Answer is:
`1/a, b, 1/c` are in A.P.
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise SELF PRACTICE PROBLEMS |23 Videos

  • SEQUENCE & SERIES

    RESONANCE ENGLISH|Exercise EXERCISE -1 PART -I RMO|43 Videos

  • RELATION, FUNCTION & ITF

    RESONANCE ENGLISH|Exercise SSP|55 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in AP, then (a)/(bc),(1)/(c ), (1)/(b) are in

If a,b,c are in AP, then (a)/(bc),(1)/(c ), (2)/(b) are in

For a , b , c in R-{0} , let (a+b)/(1-ab) , b , (b+c)/(1-bc) are in A.P. If alpha , beta are the roots of the quadratic equation 2acx^(2)+2abcx+(a+c)=0 , then the value of (1+alpha)(1+beta) is

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

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

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

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

If (b+c)/a,(c+a)/b,(a+b)/c are in A.P. show that 1/a,1/b1/c are also in A.P. (a +b+c != 0) .

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