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If x is very small in magnitude compared...

If x is very small in magnitude compared with a
such that `((a)/(a+ x))^(1//2) + ((a)/(a-x))^(1//2) = 2 + k (x^(2))/(a^(2))`, then the value of k, is

A

`1+( 1)/(2) ( x)/( a)`

B

`(x)/(a)`

C

`1+(3)/(2) (x^(2))/(a^(2))`

D

`2+(3)/(4) ( x^(2))/(a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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DISHA PUBLICATION-BINOMIAL THEOREM -EXERCISE-1 (CONCEPT BUILDER )
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  6. If the coefficient of x^7in[a x^2-(1/(b x^2))]^(11) equal the coeffici...

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  7. The sum of the series C 20()0-C 20()1+C 20()2-C 20()3+...-...+C 20()(1...

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  8. The sum of the series (12)/(2!)+(28)/(3!)+ (50)/(4!) + ( 78)/(5!)+"......

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  9. The coefficient of x^(53) in the expansion sum(m=0)^(100)^(100)Cm(x-3)...

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  10. The ratio of the coefficient of x^(15) to the term independent of x in...

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  12. Consider the expansion of (1 + x)^(2n+1) If the coefficients of x^(r...

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  14. If x is very small in magnitude compared with a such that ((a)/(a+ ...

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  17. Given positive integers r >1,n >2 and that the coefficient of (3r d)t ...

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  19. Find the value of .^n Cr +.^(n-1) Cr + ......+ .^r Cr

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  20. If x^(2)y = 2x - y and |x| lt 1 , then (( y + (y^(3))/(3) + (y^(5))...

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