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1/a+1/c+1/(a-b)+1/(c-b)=0 and b!=a+c, ...

`1/a+1/c+1/(a-b)+1/(c-b)=0` and `b!=a+c,` then `a,b,c ` are in

A

A.P

B

G.P

C

H.P

D

A.G.P

Text Solution

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The correct Answer is:
C
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MCGROW HILL PUBLICATION-PROGRESSIONS-EXERCISES LEVEL-1 (Single Correct Answer Type Questions)
  1. If 5a-b, 2a+b, a+2b are in A.P. and (a-1)^(2), (ab+1),(b+1)^(2) are in...

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  2. 1/a+1/c+1/(a-b)+1/(c-b)=0 and b!=a+c, then a,b,c are in

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  3. In an A.P, the first term is 1 and sum of the first p terms is 0, then...

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  4. If both the A.M. between m and n and G.M. between two distinct positiv...

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  5. Product of two positive integers a and b is 192. Let 8 = hef (a, b) an...

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  6. The least positive integer n such that 1-2/3-2/3^2-............-2/3^(n...

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  7. Let the positive numbers a , b , c , d be in AP. Then a b c ,a b d ,a ...

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  8. Find the harmonic mean of the roots of the equation (5+sqrt2)x^2-(4+sq...

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  9. If cos(x-y), cosx and cos(x+y) are in H.P., then |cos x sec (y)/(2)| e...

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  10. Let Sn=1+1/2+1/3+1/4+......+1/(2^n-1). Then

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  11. Let S=4/19+44/(19)^2+444/(19)^3+...oo then find the value of S

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  12. 29. If a,b,c are in G.P. and a^(1/x)=b^(1/y)=c^(1/z) prove that x, y, ...

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  13. If a,b,c,d are in GP and a^x=b^x=c^z=d^u, then x ,y,z,u are in

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  14. If a ,b ,c ,da n dp are distinct real numbers such that (a^2+b^2+c^2)p...

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  15. 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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  16. The rational number, which equals the number 2.bar 357 with recurring ...

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  17. The sum to infinity of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))...

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  18. If the sum of n terms of an A.P. is 3n^(2)+5n and its mth term is 164,...

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  19. If G1 and G2 are two geometric means and A is the arithmetic mean inse...

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  20. If A(1),A(2) be two A.M.'s and G(1),G(2) be two G.M.,s between a and b...

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