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For |x| lt 1, let y=1+x+x^(2)+…oo, then...

For `|x| lt 1`, let `y=1+x+x^(2)+…oo`, then the value of `(dy)/(dx)-y` is equal to -

A

`(x)/(y)`

B

`(x^(2))/(y^(2))`

C

`(x)/(y^(2))`

D

`xy^(2)`

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 7
  1. If y=e^(x+e^(x+e^(x+...oo)), then the value of (dy)/(dx) is -

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  2. If y=(x sin^(-1)x)/(sqrt(1-x^(2)))+logsqrt(1-x^(2)), then the value o...

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  3. For |x| lt 1, let y=1+x+x^(2)+…oo, then the value of (dy)/(dx)-y is e...

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  4. Observe the following statements : (i) f(x)=ax^(41)+bx^(-40) rArr (f'...

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  5. If f(y)=e^(y), g(y)=y, y gt 0 and F(t)=int(0)^(t) f(t-y)g(y)dy, then ...

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  6. If m, n in R, then the value of I(m,n)=int(0)^(1) t^(m)(1+t)^(n)dt is...

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  7. The value of int(-2)^(2)[p log((1+x)/(1-x))+q log ((1-x)/(1+x))^(-2)+...

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  8. The value of int (f'(x))/(f(x)log{f(x)})dx is equal to -

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  9. The value of int e^(-logx)dx is -

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  10. If f(x)=(e^(x))/(1+e^(x)),I(1)=int(f(-a))^(f(a))xg{x(1-x)}dx and I(2)...

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  11. The value of int sqrt(x)e^(sqrt(x))dx is -

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  12. The value of int(-1)^(1)|1-x| dx is equal to -

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  13. The value of int(0)^((pi)/(8))cos^(3)4 theta d theta is equal to -

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  14. The value of int(dx)/(sin x cos x) is equal to -

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  15. If int (e^(x)(1+sinx))/(1+cos x)dx=e^(x)f(x)+c, then the value of f(x...

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  16. The value of int(0)^(pi) (cosx dx)/(x^(4)+(pi-x)^(4)) is equal to -

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  17. The value of int ((e^(x)-e^(-x))dx)/((e^(x)+e^(-x))log(e^(x)+e^(-x)))...

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  18. The value of lim( n to oo) sum(r =1)^(n) (r )/(n^(2))"sec"^(2)(r^(2))/...

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  19. Let f:R to R be a differentiable function and f(1)=4 and f'(1)=2, then...

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  20. The value of int(-2)^(0) [x^(3)+3x^(2)+3x+3+(x+1)cos(x+1)]dx is equal...

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