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Direction: In each of the following question, there are two equations. you have to solve both equations and give answer.

  1. 225x2 - 4 = 0;       √225y + 2 = 0
    1. If x > y
    2. If x ≥ y
    3. If x < y
    4. If x ≤ y
    5. 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.



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