Let x,y be pair of integer such that `0 < x,y < 2018.` If x,y exceeds their G.M. by 3, then number of such pairs is

Let x, y are integers such that 81^x - 4^y = 17 , then 2x+3y is

Let x and y be positive integers such that x is prime and y is composite. Which of the following statements are correct ? 1 (y-x) can be an even integer 2 xy can be an even integer 3 0.5 (x+y) can be an even integer Select the correct answer using the code given below:

The number of pairs (x,y) of positive integers such that sqrt(x)+sqrt(y)=sqrt(1980)

The number of pairs of integer (x,y) that satisfy the follownig two equations {(cos (xy)=x),(tan(xy)=y):}

Let ZZ be the set of integers and let R be the relation on ZZ defined as R={(x,y)|x,y in ZZ and x^2+y^2=100} Find R as the set of ordered pairs. Also find its domain and range.

Let x and x+2 be two consecutive even positive integers, such that xgt12 and the sum of the integers is less than 39. Find all possible pairs of such integers.

Write down a pair of integers whose sum is 0 .

Let n be a four-digit integer in which all the digits are different.If x is number of odd integers and y is number of even integers, then a.x y c.x+y=4500 d.|x-y|=54