If $x, y ∈R$ then match List-I with List-II
|
List-I |
List-II |
|
(A) $|x|< |y|$ |
(1) iff $x^2 > y^2$ |
|
(B) $|x|> |y|$ |
(11) iff $x^2≤ y^2$ |
|
(C) $|x| ≤|y|$ |
(III) iff $x^2 <y^2$ |
|
(D) $|x| ≥ |y|$ |
(IV) iff $x^2≥ y^2$ |
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A)-(III), (B)-(I), (C)-(II), (D)-(IV)
Given:
(A) |x| < |y|
Property: |x| < |y| iff x² < y² → (A) matches (III)
(B) |x| > |y|
Property: |x| > |y| iff x² > y² → (B) matches (I)
(C) |x| ≤ |y|
Property: |x| ≤ |y| iff x² ≤ y² → (C) matches (II)
(D) |x| ≥ |y|
Property: |x| ≥ |y| iff x² ≥ y² → (D) matches (IV)