Q228 / 270 · NDA 2019 (Phase 2) · Mathematics

Paragraph: A curve y = $m e^{m x}$ where m > 0 intersects y-axis at a point P.
Question: What is the equation of tangent to the curve at $P$ ?

  • A
    $y=m x+m$
  • B
    $y=-m x+2 m$
  • C
    $y=m^2 x+2 m$
  • Correct answer
    D
    $y=m^2 x+m$

Solution

For equation of tangent $\begin{aligned} & y-y_1=\tan \alpha\left(x-x_1\right) \\ & \Rightarrow y=m=m^2(x-0) \\ & \Rightarrow y=m^2 x+m \end{aligned}$

Hence, the correct answer is option: 'D'.

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