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Mathematics - Application of Derivative Question with Solution | TestHub

MathematicsApplication of DerivativeTangents & NormalsMedium2 minQB

MathematicsMediummultiple choice

The parabolas $y = x^{2} + a x + b$ and $y = x (c - x)$ touch at (1, 0). Which are true?

Options:(select one or more)

Answer:

A, B, C, D

Solution:

Passing through $(1, 0)$ gives $1 + a + b = 0$ and $c = 1$ . Equal slopes give $2 + a = c - 2 = - 1$ . Hence $a = - 3, b = 2$ , $c = 1$ , so all statements hold.

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

⏱ 2mℹ️ Source: QB

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