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If `alpha, beta` be roots of the equation `375x ^(2) -25x-2=0 and s _(n) = alpha ^(n) +beta ^(n),` then `lim _( x to oo) lim _( x to oo) (sum _(r =1) ^(n ) S_(r))=`

A

`7//116`

B

`1//12`

C

`29//348`

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Chapter Test
  1. If a, b, c are positive real numbers, then the roots of the equation a...

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  2. If the absolute value of the difference of the roots of the equation x...

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  3. If alpha, beta be roots of the equation 375x ^(2) -25x-2=0 and s (n) =...

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  4. The quadratic equation x^(2) + (a^(2) - 2) x - 2a^(2) and x^(2) - 3x +...

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  5. The roots of ax^(2) +bx +c =0 " whose " a ne 0, b ,c in R , " are non...

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  6. The value of m for which the equation x^3-mx^2+3x-2=0 has two roots ...

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  7. If the equation formed by decreasing each root of the a x^2+b x+c=0 by...

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  8. If the roots of the equation ax^2-bx-c=0 are changed by same quantity ...

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  9. If x^2-2rprx+r=0; r=1, 2,3 are three quadratic equations of which each...

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  10. If x ^(2) + px +1 is a factor of ax ^(3) + bx +c, then:

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  11. If (x-1)^3 is a factor of x^4+ax^3+bx^2+cx-1=0 then the other factor ...

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  12. If alpha is a root of the equation x^2+2x-1=0, then prove that 4alpha^...

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  13. If one root of the quadratic equation (a-b)x^2+ax+1=0 is double the ot...

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  14. If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a co...

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  15. If the equation x^(3) + ax^(2) + b = 0, b ne 0 has a root of order 2, ...

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  16. If the roots of the equation x^(2) - bx + c = 0 are two consecutive in...

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  17. If the equations a x^2+b x+c=0 and x^3+3x^2+3x+2=0 have two common roo...

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  18. Let S denote the set of all real values of a for which the roots of th...

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  19. The sum of all real roots of the equation |x-2|^(2)+|x-2|-2=0 is

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  20. The twice of the product of real roots of the equation (2x+3)^(2)- 3|...

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