The equation of the tangent to the curve , at is
Explanation for the correct option:
Step 1: Find the first order derivative of the equation of the given curve wrt
Given, equation of curve and
On multiplying eq by eq we get,
On differentiating w.r.t. , we get
Step 2:Find the slope of the tangent at the required point
Now at ,
and [from eq and respectively]
The first order derivative at a given point gives the slope of the tangent at that point
Slope of tangent at is
Step 3: Find the equation of the tangent using slope-point form
Therefore, equation of tangent of the curve passing through is
Hence, the correct answer is option (E).