In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘l’ and ‘m’ and mark correct answer. I. 225l2

In the following question, one or two equation(s) is/are given. You have to solve both the equations and find the relation between ‘l’ and ‘m’ and mark correct answer.

I. 225l² – 4 = 0

II. (225m)^1/2 + 2 = 0

A l > m

B l ≥ m

C l < m

D l ≤ m

E x = y or the relation cannot be determined

Solution

Correct Answer: Option E

We will solve both the equations separately.

Equation I:

225l² – 4 = 0

⇒ (15l)² = 4

⇒ 15l = (4)^1/2

⇒ l = ± 2/15

Equation II:

(225m)^1/2 + 2 = 0

⇒ (225m)^1/2 = -2

⇒ m^1/2 = -2/15

This shows that square root of m is negative, which is not possible of real numbers. This means there is no value of m for which it satisfies this equation.

Thus, Relation cannot be established.

Solution

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