The angle between the curves and is
Explanation for the correct option:
Step 1: Finding the values of and
Given, the curves are
Differentiating Equation with respect to
Differentiating Equation with respect to
Step 2: Finding the angle between the curves
We know that angle between the tangents is given by,
Substituting the value of and in the above formula we get,
Also, we can write:
Then, finding the value of
Substituting the value of in equation we get,
Hence, option (D) is the correct answer.