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If x is remainder of [(a^b)+(c^a)]/c and x is also factors of [(ax^2)+bx+c]
then find relation between a,b,c and x.

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TCS Other Question

if the no.s m,n is divided by 6 then 2 and 3 are the remainders respectively. and m>n,then what will b the remainder when m-n is divided by 6? If the equation (k^2 - 5k + 6)x^2 + (k^2 - 7k + 12)x + k^2 - 9 = 0 satisfy more than two values of x, then the value of k is
option
a) -3
b) 3
c) 2
d) 4