In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer
I `(x-12)^2=0`
II `y^2=144`

Options

A. `xgty`
B. `xgey`
C. `xlty`
D. `xley`

Answer

To solve the given equations step by step, we will tackle each equation separately.

### Step 1: Solve Equation I
The first equation is:
\[ (x - 12)^2 = 0 \]

To solve for \(x\), we take the square root of both sides:
\[ \sqrt{(x - 12)^2} = \sqrt{0} \]

This simplifies to:
\[ x - 12 = 0 \]

Now, we can solve for \(x\):
\[ x = 12 \]

### Step 2: Solve Equation II
The second equation is:
\[ y^2 = 144 \]

To solve for \(y\), we take the square root of both sides:
\[ y = \sqrt{144} \]

This gives us two possible solutions:
\[ y = 12 \quad \text{or} \quad y = -12 \]

### Step 3: Compare Values
Now we have the values:
- From Equation I: \(x = 12\)
- From Equation II: \(y = 12\) or \(y = -12\)

We need to compare \(x\) and \(y\):
- If \(y = 12\), then \(x = y\).
- If \(y = -12\), then \(x > y\).

### Conclusion
Thus, the relationship between \(x\) and \(y\) can be expressed as:
\[ x \geq y \]