Direction: In each of the following question, there are two equations. you have to solve both equations and give answer.
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225x2 - 4 = 0; √225y + 2 = 0
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- If x > y
- If x ≥ y
- If x < y
- If x ≤ y
- If x = y or relation cannot be established
Correct Option: E
225x2 - 4 = 0;
⇒ 225x2 = 4 ⇒ x2 = 4/225
∴ x = √4/225 = ± 2/15, i.e., 2/15 and -2/15
and √225y + 2 = 0 or √225y = -2
On squaring both sides, we get
(√225y)2 = (-2)2
⇒ 225y = 4
∴ y = 4/225
So, relation cannot be established because 4/225 lies between 2/15 and -2/15.