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If the sum of odd terms and the sum of even terms in the expansion of `(x+a)^n` are p and q respectively then `p^2+q^2=`

A

`((x+a)^(2n) - (x -a)^(2n))/(2)`

B

`(x + a)^(2n) - (x - a)^(2n)`

C

`((x + a)^(2n) + (x -a)^(2n))/(2)`

D

`(x + a)^(2n) + (x - a)^(2n)`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-BINOMIAL THEOREM-PRACTICE EXERCISE
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  5. If A and B are coefficients of x^(n) in the expansion of (1+x)^(2n) an...

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  7. The coefficient of x in (x^2 + a/x)^5 is 270 then a =

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  8. If the 21st and 22nd terms in the expansion (1+x)^44 are equal then x ...

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  9. If the coefficients of 2nd, 3rd, 4th terms of (1+x)^n are in A.P. then...

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  10. If the coefficients of 2nd , 3rd and 4th terms of the expansion of (1+...

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  11. If the coefficients of 3rd, 4th , 5th terms in (1+x)^(2n) are A.P. the...

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  12. If the coefficients of r,(r +1 ),(r+2) terms in (1+x)^14 are in A.P. t...

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  13. If three successive coefficients in (1+x)^n are 6,15,20 then n =

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  14. If a1,a2,a3,a4 are the coefficients of 2nd, 3rd, 4th and 5th terms of ...

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  15. If a,b,c,d are conseentive binomial coefficients of (1+x)^n then (a+b)...

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  16. Coefficient of x^5 in (1+x +x^2 +x^3)^10 is

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  17. The coefficient of x^4 in the expansion of (1+x-2x^2)^7 is

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  18. Binomial coefficients which are in decreasing order are

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  19. Coefficient of x^3 in 1+(1+x) +(1 +x)^2 +…..+(1+x)^n is

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  20. Sum of the coefficients of (1+2x-4x^2)^(2003)

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