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If a,b,c are in H.P and ab + bc ca = 15,...

If a,b,c are in H.P and ab + bc ca = 15, then ca =

A

5

B

7

C

9

D

10

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-SEQUENCES AND SERIES -EXERCISE
  1. If the third and seventh terms of a H.P. are 1/7, 1/15 respectively, t...

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  2. If mth terms of H.P is n and nth term is m, then (m + n)th term is

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  3. If a,b,c are in H.P and ab + bc ca = 15, then ca =

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  4. If a(1), a(2),…a(n) are in H.P. then a(1).a(2) + a(2).a(3) + a(3).a(4)...

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  5. The cotangents of the angles pi//3, pi//4, pi//6 are in

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  6. If three are four harmonic means between 1/12, 1/42, then the third h...

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  7. Two harmonic means between 1/2, 4/17 are

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  8. H(1),H(2) are 2 H.M.'s between a,b then (H(1) + H(2))/(H(1).H(2)) =

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  9. Let a(1), a(2), …., a(10) be in A.P and h(1), h(2),…. , h(10) be I H.P...

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  10. If the arthimetic mean between a and b is (a^(n + 1) + b^(n + 1))/(a^(...

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  11. If the geometic mean between a and b is (a^(n + 1) + b^(n + 1))/(a^(n)...

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  12. If the harmonic mean between a and b is (a^(n + 1) + b^(n - 1))/(a^(n)...

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  13. x,y are two real numbers. If A is half of their sum, G is root of thei...

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  14. If the first and (2n + 1)th terms of an A.P. , G.P. and H.P. are equal...

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  15. If H(1), H(2), ….. H(n) are n harmonic means between a and b (ne a), t...

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  16. The harmonic mean of two numbers is 4 their arithmetic mean is A and g...

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  17. The ratio of the harmonic mean to the geometric mean of two positive n...

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  18. If b + c, c + a , a + b are in A.P then a , b , c are in

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

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  20. IF the roots of (b-c) x^2+ (c-a) x+ (a-b) =0 are equal then ...

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