If is parallel to the tangent of the parabola , then its distance from the normal parallel to the given line is?
Explanation for the correct option:
Step 1: Finding the slope of line.
The equation of a line given is compare it with standard equation of line
Then the slope of line is
Step 2: Find the tangent of parabola
Now, get the tangent to the parabola by differentiating it with respect to
Step 3: Find the coordinate point
The slope of the normal =
Substitute the value of in to get coordinate.
So, the coordinate point
Thus, the line . Therefore comparing it with given equation we get
Step 4: Find the distance ()
Then the distance from the tangent point to the parallel line
Hence, the correct option is (B).