Start Free Mock LoginAlready registered? Login here

Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minQB

MathematicsMediumsingle choice

The tangent at $(1, 1)$ to $y^{2} = x (2 - x)^{2}$ meets the curve again at $P$ . Find $P$ .

Options:

Answer:

Solution:

Implicit differentiation gives slope -1/2 at (1, 1), so the tangent is $2 y + x = 3$ . Substitution in the curve yields the second intersection $P = (9/4, 3/8)$ .

Stream:JEESubject:MathematicsTopic:Application of DerivativeSubtopic:Tangents & Normals

⏱ 2mℹ️ Source: QB

Doubts & Discussion

Loading discussions...