Home
Class 12
MATHS
(i) a , b, c are in H.P. , show that (b...

(i) a , b, c are in H.P. , show that ` (b + a)/(b -a) + (b + c)/(b - c) = 2 `
(ii) If ` a^(2), b^(2), c^(2) ` are A.P. then b + c , c + a , a + b are in H.P. .

Text Solution

AI Generated Solution

Let's solve the given problem step by step. ### Part (i) **Given:** \( a, b, c \) are in Harmonic Progression (H.P.). **To Show:** \[ ...
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Try Yourself|87 Videos

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A) One option is correct|60 Videos

  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos

  • SETS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-I(Aakash Challengers Questions)|4 Videos

Similar Questions

Explore conceptually related problems

If a^(2) , b^(2) , c^(2) are in A.P , pove that a/(a+c) , b/(c+a) , c/(a+b) are 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 are in A.P., show that: (b + c), (c + a) and (a + b) are also in A.P.

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

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

If a, b, c are in A.P, then show that: \ b c-a^2,\ c a-b^2,\ a b-c^2 are in A.P.

If a, b, c are in H.P., then the equation a(b-c) x^(2) + b(c-a)x+c(a-b)=0

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.

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

If (b+c-2a)/a , (c+a-2b)/b , (a+b-2c)/c are in A.P. , then a,b,c are in :