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If a/(b + c), b/(c + a), c/(a + b) are i...

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

A

`a, b, c` are in A.P.

B

`c, a, b` are in A.P.

C

`a^(2), b^(2), c^(2)` are in A.P.

D

`a, b, c` are in G.P.

Text Solution

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The correct Answer is:
C
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NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. If a(1), a(2),………, a(50) are in G.P, then (a(1) - a(3) + a(5) - .........

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  2. The first term of an infinite G.P. is 1 and each term is twice the sum...

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

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  4. In an infinite geometric series the first term is a and common ratio i...

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  5. The sets S(1), S(2), S(3), …………. are given by S(1) = {2/1},S(2) = {3/2...

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  6. If H(1), H(2) are two harmonic means between two positive numbers a an...

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  7. If the sum of 12^(th) and 22^(nd) terms of an A.P is 100, then the sum...

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  8. The coefficient of x in the expansion of (1 + x)(1 + 2x)(1 + 3x) ... ...

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  9. If 0 lt phi lt (pi)/(2) , x= sum(n=0)^(oo) cos^(2n) phi ,y sum (n...

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  10. The sum of the first n terms of the series 1/(sqrt(2) + sqrt(5)) + 1/(...

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  11. The H.M. of two numbers is 4. their A.M ia A and G.M. is G. If 2A + G^...

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  12. If a, b, c are in G.P. and x, y are the arithmetic mean of a, b and b,...

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  13. A student read common difference of are A.P. as -3 instead of 3 and ob...

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  14. If a(1), a(2) …… a(n) = n a(n - 1), for all positive integer n gt= 2, ...

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  15. If a(1), a(2), ……., a(n) are in A.P. with common differece d != 0, the...

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  16. Let a be a positive number such that the arithmetic mean of a and 2 e...

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  17. If the sum to first n terms of the A.P. 2, 4, 6, …. is 240, then the v...

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  18. The value of 1/(sqrt(10) - sqrt(9)) - 1/(sqrt(11) - sqrt(10)) + 1/(sqr...

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  19. An A.P. consists of 23 terms. If the sum of the three terms Is the mid...

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  20. If a(1), a(2), a(3), ......... , are in A.P. with common difference 5 ...

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