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Divide 42 in three parts which are in G...

Divide 42 in three parts which are in G.P. such that the square of the middle term is twice the greatest.

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Divide 16 into two parts such that twice the square of the larger part exceeds the square of the smaller part by 164.

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KALYANI PUBLICATION-PROGRESSION-EXERCISE
  1. The product of three numbers in G.P. is 512. If 8 be added to the fi...

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  2. The sum of three numbers in G.P. is 70. If the first and last ter...

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  3. Divide 42 in three parts which are in G.P. such that the square of ...

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  4. If 1, 1, 3 and 9 be added respectively to four members in A.P. then a ...

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  5. x and y are two positive integers such that 2,x, y are in A.P. and x, ...

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  6. The numbers x, 8, y (xney) are in G.P. and the numbers x, y,-8 are in...

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  7. If a, b, c are in A.P. and a,b, d are in G.P., prove that a, a-b, d-c ...

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  8. If a,b,c are in G.P., show that 1/(a+b),1/(2b),1/(b+c) are in A.P.

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  9. If a, b, c are in A.P. and a, b, c + 1 are in G.P. then prove that 4a=...

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  10. If x,y,z are in G.P and p,q,r are in A.P then prove that x^(q-r) y^(r-...

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

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  12. If x, y, z,w in are in G.P., prove that (xy-wz)/(y^2-z^2)=(x+z)/y.

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  13. The pth, qth and rth term of a G.P. are x, y, z respectively, then pro...

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  14. If pth, qth and rth term of a G.P. are in G.P. then prove that p, q, r...

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  15. If pth, qth and rth term of an A.P. are in G.P., then show that common...

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  16. If a, b, c be the pth, qth and rth term of both an A.P. and G.P., then...

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  17. If a, b, c, d are in G.P., show that each of the following three term ...

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  18. If a,b,c,d are in G.P show that each of the following three term are a...

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  19. If a,b,c,d are in G.P show that each of the following three term are a...

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  20. If a,b,c,d are in G.P show that each of the following three term are a...

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