Find the coeficients: `(i) x^7` in `(ax^2+1/(bx))^11`

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

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^(7) in (ax ^(2) +(1)/(bx)) ^(11) equals the corfficient of x^(-7) in (ax- (1)/(bx^(2)))^(11), then a and b satisfy the equation-

If the coefficient of x^7 in (ax^2+(1)/(bx))^11 equals the coefficient of x^-7 in (ax-(1)/(bx^2))^11 , then a and b satisfy the relation

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

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

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