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Most Important Selected Qs for JEE AdvancedMathematicsSequences and Series

If ^2 ~A 2 , ^2 B 2 , ^2 C 2 are in H.P. then

Options

  1. Aa, b. c are in A.P.
  2. Ba, b. c are in H.P.
  3. Ca(b+c), b(c+a), c(a+b) are in A.P.
  4. Da(b+c), b(c+a), c(a+b) are in H.P

Correct answer

C. a(b+c), b(c+a), c(a+b) are in A.P.

Step-by-step solution

(s-b)(s-c) b c , (s-a)(s-c) a c , (s-a)(s-b) a b H.P. a (s-a) b (s-b) , c (s-c) H.P. (s-a) a , (s-b) b , (s-c) c A.P. s a -1, s b -1, s c -1 A.P. a , b , c H.P. 1 a , 1 b , 1 c A.P. - 1 a ,- 1 b ,- 1 c A.P. 1 b + 1 c , 1 c + 1 a 1 a + 1 b A.P. a(b+c), b(c+a), c(a+b) A.P.

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