If the curve passes through the origin and the tangents drawn to it at and are parallel to the -axis, then the values of and are respectively
Explanation for the correct option.
Step 1: Differentiate the curve
Given, an equation of the curve .
Also, it is passes through .
On differentiating equation (1), we get
Step 2: Form equations
As, the tangents at and are parallel to -axis.
At, we have:
At, we have:
Step 3: Find the value of
Solve equations (2) & (3) as Equation (3)equation (2) we get:
Put in equation (2) we get:
Hence, option B is correct.