Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Analysis Real Number System
Given |x|, |y| ≤ 2 where x, y are real and |x| ≠ lyl, we state
A. \(\left|x^2-y^2\right| \geq 1\) if and only if \(|x+y||x-y| \geq 1\),
B. \(|x+y||x-y| \geq 1\) if and only if \(|x-y| \geq \frac{1}{|x+y|}\)
C. \(|x-y| \geq \frac{1}{|x+y|}\) if and only If \(|x-y| \geq \frac{1}{|x|+|y|}\)
D. \(|x-y| \geq \frac{1}{|x|+|y|}\) if and only if \(|x-y| \geq \frac{1}{4}\)
Then choose the correct option
1
Only A
2
B & C
3
A & B
4
C & D