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a,b,c are positive real numbers forming...

a,b,c are positive real numbers forming a G.P. ILf `ax^2+2bx+c=0`and `dx^ 2 +2ex+f=0` have a common root, then prove that `d/a,e/b,f/c` are in A.P.

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RD SHARMA ENGLISH-GEOMETRIC PROGRESSIONS-All Questions
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  10. Find the geometric means of the following pairs of number: -8\ a n d-2...

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  13. If A and G are respectively arithmetic and geometric mean between posi...

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  14. The sum of two numbers is 6 times their geometric means, show that nu...

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  15. If A.M. and GM. of roots of a quadratic equation are 8 and 5, respe...

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  16. If AM and GM of two positive numbers a\ a n d\ b are 10 and 8 respecti...

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  17. If the fifth term of a G.P. is 2, then write the product of its 9 t...

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  18. If (p+q)^(t h)a n d\ (p-q)^(t h) terms of a G.P. re m\ a n d\ n respec...

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  19. If (log)x a ,\ a^(x//2) and (log)b x are in G.P., then write the value...

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