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If the equation a(n)x^(n)+a(n-1)x^(n-1)...

If the equation `a_(n)x^(n)+a_(n-1)x^(n-1)+…+a_(1)x=0 (a_(1) ne 0, n ge 2)`, has a positive root `alpha`, then the equation `na_(n)x^(n-1)+(n-1)a_(n-1)x^(n-2)+ … +a_(1)=0` has a positive root, which is -

A

greater than or equal to `alpha`,

B

equal to `alpha`,

C

smaller than `alpha`,

D

greater than `alpha`.

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The correct Answer is:
C
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 8
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  3. If the equation a(n)x^(n)+a(n-1)x^(n-1)+…+a(1)x=0 (a(1) ne 0, n ge 2)...

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  6. The value of int(dx)/(x(x^(7)+1)) is equal to -

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  7. If f(x)=|x-1|, then the value of int(0)^(2)f(x) dx is -

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  8. If I(m)=int(1)^(x)(logx)^(m)dx satisfies the relation I(m)=x(logx)^...

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  9. If int(-(1)/(2))^((1)/(2)) cos x log((1+x)/(1-x))dx=k log2, then the ...

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  10. The value of int cos[2cot^(-1) sqrt((1-x)/(1+x))]dx is equal to -

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  11. If int(sinx)^(1) t^(2) f(t) dt =1-sinx, then the value of f((1)/(sqr...

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  12. If int(cos 4x+1)/(cotx-tan x) dx=k cos 4x+c, then the value of k is...

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  13. The value of integral int(dx)/(sin(x-a)sin(x-b)) is -

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  14. If an antiderivative of f(x) is e^(x) and that of g(x) is cosx, then ...

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  15. The value of int sqrt(e^(x)-1)dx is equal to -

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  16. If I(1)=int sin^(-1)x dx and I(2)=int sin^(-1) sqrt(1-x^(2)) dx th...

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  17. The value of int cos^(-(3)/(7)) x sin^(-(11)/(7)) x dx is equal to -

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