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Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a...

Let `(x+10)^(50)+(x-10)^(50)=a_(0)+a_(1)x+a_(2)x^(2)+...+a_(50)x^(50)` for all `x in R`, then `(a_(2))/(a_(0))` is equal to

A

12.5

B

12

C

12.75

D

12.25

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • Let (1+x+x^(2))^(9)=a_(0)+a_(1)x+a_(2)x^(2)+......+a_(18)x^(18) . Then

    A
    `a_(0)+a_(2)+.......+a_(18)=a_(1)+a_(3)+......+a_(17)`
    B
    `a_(0)+a_(2)+......+a_(18)` is even
    C
    `a_(0)+a_(2)+......+a_(18)` is divisible by 9
    D
    `a_(0)+a_(2)+......+a_(18)` is divisible by 3 but not by 9

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