Search any question & find its solution
Question:
Answered & Verified by Expert
Let $S$ be the set of all ordered pairs $(x, y)$ of positive integers satisfying the condition $x^{2}-y^{2}=12345678$. Then
Options:
Solution:
1795 Upvotes
Verified Answer
The correct answer is:
$S$ is the empty set
$x^{2}-y^{2}=12345678\left(x, y \in I^{+}\right)$
R.H.S. is even, so $\mathrm{x}$, y should be odd integer but difference of square of two odd integers is multiple of 8 but R.H.S. is not multiple of 8
R.H.S. is even, so $\mathrm{x}$, y should be odd integer but difference of square of two odd integers is multiple of 8 but R.H.S. is not multiple of 8
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.