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If the coefficient of x^7in[a x^2-(1/(b ...

If the coefficient of `x^7in[a x^2-(1/(b x^2))]^(11)` equal the coefficient of `x^(-7)` in satisfy the `[a x-(1/(b x^2))]^(11),then a a n d b` satisfy the relation `a+b=1` b. `a-b=1` c. `b=1` d. `a/b=1`

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If the coefficient of x^7in[a x^2-(1/(b x^2))]^(11) equal the coefficient of x^(-7) in satisfy the [a x-(1/(b x^2))]^(11), then a and b satisfy the relation a. a+b=1 b. a-b=1 c. ab=1 d. a/b=1

the coefficient of x^(7) in (ax - b^(-1) x^(-2))^(11) is

Find the coefficient of x^7 in ( ax^(2) + (1)/( bx) )^(11) and the coefficient of x^(-7) in (ax + (1)/(bx^(2) ))^(11) . If these coefficients are equal, find the relation between a and b .

Find the coefficients of x^7 in (a x^2+1/(b x))^(11)and x^(-7)i n(a x-1/(b x^2))^(11) and find the relation between a and b so that coefficients are equal.

Find the coefficient of x^(7) in the expansion of (ax^(2) + (1)/(bx))^(11) . (ii) the coefficient of x^(-7) in the expansion of (ax + (1)/(bx^2))^(11) . Also , find the relation between a and b , so that these coefficients are equal .

Find (a) the coefficient of x^7 in the epansion of (ax^2+1/(bx))^11 (b) The coefficient of x^(-7) in the expansion of (ax^2+1/(bx))^11 Also , find the relation between a and b, so that these coefficients are equal .

If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) and (1 + x)^(2n-1) respectively, then

If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) and (1 + x)^(2n-1) respectively, then

If A and B are the coefficients of x^n in the expansion (1 + x)^(2n) and (1 + x)^(2n-1) respectively, then A/B is

In the expansion of (1+3x+2x^2)^6 , the coefficient of x^(11) is a. 144 b. 288 c. 216 d. 576

CENGAGE ENGLISH-BINOMIAL THEOREM-All Questions
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  2. Column I, Column II The coefficient of the two consecutive terms...

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  5. If the coefficients of the rth, (r+1)t h ,(r+2)t h terms is the expan...

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  7. Degree of the polynomial [sqrt(x^2+1)+sqrt(x^2-1)]^8+[2/(sqrt(x^2+1)+...

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  8. Least positive integer just greater than (1+0. 00002)^(50000) is.

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  10. Prove that the coefficient of x^(n) in the expansion of (1)/((1-x)(1-2...

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  12. Prove that ^n C1(^n C2)(^n C3)^3(^n Cn)^nlt=((2^n)/(n+1))^(n+1C()2),AA...

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  13. Prove that 1/(m !)^n C0+n/((m+1)!)^n C1+(n(n-1))/((m+2)!)^n C2++(n(n-1...

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  14. If n=12 m(m in N), prove that ^n C0-(^n C2)/((2+sqrt(3))^2)+(^n C4)/(...

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  15. In the expansion of (1 + x)^(n) (1 + y)^(n) (1 + z)^(n) , the sum of t...

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  16. Prove that ^100 C0^(100)C2+^(100)C2^(100)C4+^(100)C4^(100)C6++^(100)C(...

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  17. Prove that sum(r=1)^(m-1)(2r^2-r(m-2)+1)/((m-r)^m Cr)=m-1/mdot

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  18. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

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  19. If b1, b2 bn are the nth roots of unity, then prove that ^n C1dotb1+^n...

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  20. If .^(n+1)C(r+1) :^n Cr :^(n-1)C(r-1)=11 :6:3, then n r=? a. 20 b. 30...

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