(1+x)^(10)=a(0)+a(1)x+a(2)x^(2)+……..+a(1...

`(1+x)^(10)=a_(0)+a_(1)x+a_(2)x^(2)+……..+a_(10)x^(10)` then the value of `(a_(0)-a_(2)+a_(4)-a_(6)+a_(8)-a_(10))^(2)+(a_(1)-a_(3)+a_(5)-a_(7)+a_(9))^(2)` is `……`

`3^(10)`

`2^(10)`

`2^(9)`

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if (1+ax+bx^(2))^(4)=a_(0) +a_(1)x+a_(2)x^(2)+…..+a_(8)x^(8), where a,b,a_(0) ,a_(1)…….,a_(8) in R such that a_(0)+a_(1) +a_(2) ne 0 and |{:(a_(0),,a_(1),,a_(2)),(a_(1),,a_(2),,a_(0)),(a_(2),,a_(0),,a_(1)):}|=0 then the value of 5.(a)/(b) " is " "____"

If a_(1),a_(2),a_(3),".....",a_(n) are in HP, than prove that a_(1)a_(2)+a_(2)a_(3)+a_(3)a_(4)+"....."+a_(n-1)a_(n)=(n-1)a_(1)a_(n)

If a_(1),a_(2),a_(3)"....." are in GP with first term a and common rario r, then (a_(1)a_(2))/(a_(1)^(2)-a_(2)^(2))+(a_(2)a_(3))/(a_(2)^(2)-a_(3)^(2))+(a_(3)a_(4))/(a_(3)^(2)-a_(4)^(2))+"....."+(a_(n-1)a_(n))/(a_(n-1)^(2)-a_(n)^(2)) is equal to

the value of the determinant |{:((a_(1)-b_(1))^(2),,(a_(1)-b_(2))^(2),,(a_(1)-b_(3))^(2),,(a_(1)-b_(4))^(2)),((a_(2)-b_(1))^(2),,(a_(2)-b_(2))^(2) ,,(a_(2)-b_(3))^(2),,(a_(3)-b_(4))^(2)),((a_(3)-b_(1))^(2),,(a_(3)-b_(2))^(2),,(a_(3)-b_(3))^(2),,(a_(3)-b_(4))^(2)),((a_(4)-b_(1))^(2),,(a_(4)-b_(2))^(2),,(a_(4)-b_(3))^(2),,(a_(4)-b_(4))^(2)):}| is

What does a_(1) + a_(2) + a_(3) + …..+ a_(n) represent

Answer each question by selecting the proper alternative from those given below each question so as to make the statement true: The solution of the pair of linear equations a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0 by corss-multiplication method is given by .................. x=(b_(2)c_(1)-b_(1)c_(2))/(a_(1)b_(2)-a_(2)b_(1)), y=(a_(1)c_(2)-a_(2)c_(1))/(a_(1)b_(2)-a_(2)b_(1)) x=(b_(1)c_(2)-b_(2)c_(1))/(a_(1)b_(2)-a_(2)b_(1)), y=(a_(1)c_(2)-a_(2)c_(1))/(a_(1)b_(2)-a_(2)b_(1)) x=(b_(2)c_(1)-b_(1)c_(2))/(a_(1)b_(2)-a_(2)b_(1)), y=(a_(2)c_(1)-a_(1)c_(2))/(a_(1)b_(2)-a_(2)b_(1)) x=(b_(1)c_(2)-b_(2)c_(1))/(a_(1)b_(2)-a_(2)b_(1)), y=(a_(2)c_(1)-a_(1)c_(2))/(a_(1)b_(2)-a_(2)b_(1))

p(x)=a_(0)+a_(1)x^(2)+a_(2)x^(4)+…………+a_(n)x^(2n) is a polynomial with real variable x. If 0 lt a_(0)lt a_(1)lt a_(2)lt ……….lt a_(n) then p(x) has …………

If |{:(a,a+x^(2),a+x^(2)+x^(4)),(2a,3a+2x^(2),4a+3x^(3)+2x^(4)),(3a,6a+3x^(2),10a+6x^(2)+3x^(4)):}| = a_(0)+a_(1)x+a_(2)x^(2)+a_(3)x^(3)+a_(4)x^(4)+a_(5)x^(5)+a_(6)x^(6)+a_(7)x^(7) and f(x) =+ a_(0)x^(2)+a_(3)x+a_(6) then

KUMAR PRAKASHAN-BINOMIAL THEOREM -TEXTBOOK BASED MCQS

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sum(r=0)^(n).^(n)C(r)4^(r)=..........
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