If normal are drawn from a point `P(h , k)` to the parabola `y^2=4a x` , then the sum of the intercepts which the normals cut-off from the axis of the parabola is `(h+c)` (b) `3(h+a)` `2(h+a)` (d) none of these

Explanation

To solve the problem of finding the sum of the intercepts cut off by the normals from a point \( P(h, k) \) to the parabola \( y^2 = 4ax \), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Parabola and Normal Equation**:
The equation of the parabola is given by \( y^2 = 4ax \). The equation of the normal to the parabola at a point can be expressed as:
\[
y = mx - 2am - am^3
...