If `(a+ib)^(2018)=a- ib` then number of real ordered pairs `(a,b)` that are solution of the given equation is `N`, then `[(N)/(100)]` equals

If 2^(a)=7^(b) then number of ordered pairs (a,b) of real numbers is

If m^(2)-n^(2)=7, where m,n varepsilon Z, then number of ordered pairs (m,n) is

The number of solution of the equation 2a+3b+6c=60 , where a, b,c in N , is equal to

Write the order pair (2,-3) in the form of (a+ib) .

Given a, b in {0,1,2,3,4............., 9, 10). Consider the system of equations x+y+z=4 2x + y + 3z=6 x + 2y + az = b Let L: denotes number of ordered pairs (a, b) so that the system of equations has unique solution M: denotes number of ordered pairs (a, b) so that the system of equations has no solution and N: denotes number of ordered pairs (a, b) so that the system of equations has infinite solutions.Find (L + M-N).

Consider a number N=21P53Q4, then the number of ordered pairs (P,Q) so that the N . is divisible by 44 is equal to

The number of ordered pairs (x,y) , where x , y in N for which 4 , x , y are in H.P. , is equal to

Let n_(k) be the number of real solution of the equation |x+1| + |x-3| = K , then

If the number of ordered pairs (a,b) where a,b in R such that (a+ib)^(5015)=(a-ib)^(3) is k , then the unit digit of k is equal to________