(a) Statement I is true, Statement II is true , Statement II is a correct explanation for statement I.
(b) Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I.
(C) Statement I is true, Statement II is false.
(D) Statement I is false , Statement II is true.
Statement I through the point `(pi,pi+1),pilt2`, there cannot be more than one normal to the parabola `y^2=4ax` . Statement II The point `(pi,pi+1)` cannot lie inside the parabola `y^2=4ax` .

Answer

To solve the problem, we need to analyze the two statements given about the parabola \(y^2 = 4ax\) and the point \((\pi, \pi + 1)\).

### Step 1: Analyze Statement I
**Statement I:** "Through the point \((\pi, \pi + 1)\), there cannot be more than one normal to the parabola \(y^2 = 4ax\)."

To determine if this statement is true, we need to understand the conditions under which a normal can be drawn to a parabola. The normal to a parabola can be derived from the slope of the tangent at a point on the parabola. For a given point on the parabola, there can be at most one normal line if the point lies outside the parabola.

### Step 2: Analyze Statement II
**Statement II:** "The point \((\pi, \pi + 1)\) cannot lie inside the parabola \(y^2 = 4ax\)."

To check if this statement is true, we can use the condition for a point \((x_0, y_0)\) to lie inside the parabola \(y^2 = 4ax\). The point lies inside if \(y_0^2 < 4ax_0\).

Substituting \(x_0 = \pi\) and \(y_0 = \pi + 1\):
\[ (\pi + 1)^2 < 4a\pi \]
Calculating the left-hand side:
\[ (\pi + 1)^2 = \pi^2 + 2\pi + 1 \]
Now we need to check if:
\[ \pi^2 + 2\pi + 1 < 4a\pi \]

### Step 3: Determine the Relationship
To determine if the point \((\pi, \pi + 1)\) lies inside or outside the parabola, we can rearrange the inequality:
\[ \pi^2 + 2\pi + 1 - 4a\pi < 0 \]
This is a quadratic inequality in terms of \(a\). The point lies outside the parabola if this inequality is not satisfied for any \(a > 0\).

### Step 4: Conclusion
From our analysis:
- Statement I is true because there can be at most one normal to the parabola from a point outside the parabola.
- Statement II is also true because the point \((\pi, \pi + 1)\) does not satisfy the condition to lie inside the parabola.

However, Statement II does not explain Statement I since both statements are true independently.

### Final Answer
The correct option is (b): Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I.