Let be a tangent line to the parabola at . If is also a tangent to the ellipse , then the value of is equal to
Explanation for the correct option:
Finding the value of :
Given equation of parabola is
We know the equation of the tangent to the parabola at
Since is given, and here
Therefore, the equation of tangent to this parabola
Now we know the condition for which the line becomes tangent of ellipse
The given equation of ellipse is
Now comparing equations we get
And comparing equations we get
Applying we get
Hence, option (B) is the correct answer.