Question

Let s be the set of all ordered pairs x, y are positive integers satisfying the condition x square minus y square equal to 12345678 then

Answer 1

The options for this question are missing: here are the missing options:

A) S is an infinite set

B) S is the empty set

C) S has exactly one element

D) S is a finite set and has at least two elements.

Answer:

The correct answer is Option: B

x² - y² = 12345678

here R.H.S is even so both x and y should be the odd integers.

But here the different of the square of two odd integers is the multiple of 8 but here the R.H.S is not the multiple of 8.

If there is any confusion please leave a comment below.