If the coefficient of `x^10` in `(ax^2 + (1)/(bx))^11` is equal to the coefficient of `x^(-10)`in `(ax - (1)/(bx^2))^11` then show that ab = -1

If the coefficient of x^7 in (ax^2+1/(bx))^11 is equal to the coefficient of x^-7 in (ax-1/(bx^2))^11 then

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

The coefficient of x^(-10) in (x^2-1/x^3)^10 , 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 .

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

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

The coefficient of x^4 in (1+x+x^2+x^3)^11 is

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

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 the coefficient of x^(10) in the expansion of (1-x^(2))^(10)