Home
Class 11
MATHS
If a,b,c are in A.P. prove that (i) b+...

If a,b,c are in A.P. prove that
(i) `b+c,c+a,a+b` are also in A.P.
(ii) `1/(sqrt(b)+sqrt(c)),1/(sqrt(c)+sqrt(a)),1/(sqrt(a)+sqrt(b))` are also in A.P.

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (g) SATQ|5 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (g) LATQ|8 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE 9 (e) LATQ|8 Videos
  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Chapter Test|11 Videos
  • SETS

    MODERN PUBLICATION|Exercise CHAPTER TEST 1|12 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are in AP , then prove that : b+c,c+a,a+b are also in AP

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

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

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

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

If a,b,c are in A.P,prove that (1)/(bc),(1)/(ca),(1)/(ab), is also in A.P.

If a, b, c are in A.P., prove that a^(2)(b+c),b^(2)(c+a),c^(2)(a+b)" are also in A.P."

If a,b,c are in A.P. prove that: (i) (ab)^(-1),(ca)^(-1) and (bc)^(-1) are also in A.P. (ii) (ab+ac)/(bc),(bc+ca)/(ca),(ca+cb)/(ab) are also in A.P.