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`a ,b ,c` are positive real numbers forming a G.P. ILf `a x^2+2b x+c=0a n ddx^2+2e x+f=0` have a common root, then prove that `d//a ,e//b ,f//c` are in A.P.

A

A.P.

B

G.P

C

H.P.

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-SEQUENCES AND SERIES-Exercise
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  2. If x=2+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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  3. a ,b ,c are positive real numbers forming a G.P. ILf a x^2+2b x+c=0a n...

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  4. If a ,b ,a n dc are in A.P. p ,q ,a n dr are in H.P., and a p ,b q ,a ...

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  5. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

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  8. The sum of n terms of an A.P. is 3n^(2)+5. The number of term which eq...

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  9. If the pth, qth, and rth terms of an A.P. are in G.P., then the common...

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  10. If log2,log(2^x-1)a n dlog2log(2^x+3) are in A.P., write the value of ...

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  11. If S denotes the sum to infinity and Sn the sum of n terms of the seri...

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  12. If x ,y ,z are distinct positive numbers, then prove that (x+y)(y+z)(z...

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  13. a, b, c are sides of a triangle and a, b, c are in GP If log a- log ...

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  16. A G.P. consists of an even number of terms. If the sum of all the t...

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  17. The interior angles of a polygon are in A.P. the smallest angle is 120...

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  18. For what value of b, will the roots of the equation cos x=b, -1legle1 ...

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  19. about to only mathematics

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  20. Find the sum of the series 1+(4)/(5)+(7)/(5^(2))+(10)/(5^(3))+"....." ...

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