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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
- If x=1+a+a^2+oo,w h e r e|a|<1a n dy=1+b+b^2+oo,w h e r e|b|<1. prove...
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- If A=1+r^a+r^(2a)+ to oo and B=1+r^b+r^(2b)+oo , prove that r=((A-1)/A...
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- Prove that the product n geometric means between two quantities is equ...
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- If a ,b ,c ,d are four distinct positive numbers in G.P. then A. a +...
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- Find the value of n so that (a^(n+1)+b^(n+1))/(a^n+b^n)may be the geo...
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- Insert 5 geometric means between 576 and 9.
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- Let x be the arithmetic mean and y ,z be tow geometric means between a...
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- Find two positive numbers whose difference is 12 an whose A.M. exce...
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- If one geometric mean G and two arithmetic means A1a n dA2 be inserted...
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- If a is the A.M. of b and c and the two geometric means are G1 and G2...
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- If x in R , find the minimum value of the expression 3^x+3^(1-x)dot
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- If x ,y ,z are distinct positive numbers, then prove that (x+y)(y+z)(z...
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- If a ,b ,c are in G.P. then prove that (a^2+a b+b^2)/(b c+c a+a b)=(b+...
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- If 1/(a+b),1/(2b),1/(b+c) are three consecutive terms of an A.P., prov...
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- If a ,b ,c ,d are in G.P. prove that: (a b-c d)/(b^2-c^2)=(a+c)/b
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- If a ,b ,c ,d are in G.P. prove that: (a^2+b^2),(b^2+c^2),(c^2+d^2) ar...
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- The sum of three numbers a ,b ,c in A.P. is 18 . If aa n db are eac...
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- If a ,b ,c are in G.P., prove that: a(b^2+c^2)=c(a^2+b^2)
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- If mth, nth and pth terms of a G.P. form three consecutive terms of a ...
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- If a ,b ,c are in G.P. and x ,y are the arithmetic means of a ,ba n db...
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