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If H be the harmonic mean between x and ...

If H be the harmonic mean between x and y, then show that `(H+x)/(H-x)+(H+y)/(H-y)=2`

A

1

B

2

C

4

D

a + b

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The correct Answer is:
B
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ML KHANNA-PROGRESSIONS -SELF ASSESSMENT TEST
  1. If 1 + sin x + sin^(2) x +.....+ oo = 4 + 2 sqrt(3), 0 lt x lt pi and...

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  2. If x,y,z are in HP, then log(x+5)+log (x-2y+z) is equal to

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  3. If H be the harmonic mean between x and y, then show that (H+x)/(H-x)+...

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  4. In a H.P., p^(th) term is q and q^(th) term is p then pq^(th) term is

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  5. The harmonic mean of (a)/(1 - ab) and (a)/(1 + ab) is

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  6. If b^(2), a^(2), c^(2) are in A.P., then a + b, b + c, c + a will be i...

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  7. If (x + y)/(2), y ,(y + z)/(2) are in H.P., then x, y, z are in

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  8. If a,b,c are in A.P., then 2^(ax+1),2^(bx+1),2^(cx+1), x in R, are in

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  9. If a, ,b c, are in G.P., then log(a) n, log(b) n, log(c) n are in

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  10. For all ngeq1, prove that 1/(1. 2)+1/(2. 3)+1/(3. 4)+dotdotdot+1/(n(n+...

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  11. The value of underset(i=1)overset(n)sumunderset(j=1)overset(i)sumunde...

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  12. 11^(3)+12^(3)+13^(3)+………….+20^(3) is

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  13. For any integer n ge 1, the sum sum(k=1)^(n) k (k + 2) is equal to

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  14. Find the sum of first n terms of the series 1^(3) + 3^(3) + 5^(3) +…

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  15. If the sum of first n terms of an AP is cn^(2), then the sum of square...

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  16. A man saves Rs. 200 in each of the first three months of his service. ...

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  17. If 100 times the 100th term of an AP with non-zero common difference e...

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  18. Let a(1),a(2),a(3), . . . be a harmonic progression with a(1)=5anda(20...

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  19. Let a1, a2, a3, ,a(100) be an arithmetic progression with a1=3a n dsp...

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  20. Let S(k), where k = 1,2,....,100, denotes the sum of the infinite geom...

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