Application of Derivatives 1 Question 16
16. Let be the curve . If is the set of points on the curve , where the tangent is horizontal and is the set of points on the curve , where the tangent is vertical, then and .
(1994, 2M)
Analytical & Descriptive Questions
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Solution:
- Given,
On differentiating w.r.t.
For the points where tangent is horizontal, the slope of tangent is zero.
i.e.
So,
For the points where tangent is vertical,
On putting this value in the given equation of the curve, we get