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NDA 2014
Exam
NDA
Year
2014
Subject
Mathematics
Chapter
Differentiation

NDA 2014 · Mathematics · Differentiation

Consider the curve x=a( θ+θ θ) and y=a( θ-θ θ) . What is (d^2 y)/(d...

Consider the curve x=a(cos⁡θ+θsin⁡θ)x=a(\cos \theta+\theta \sin \theta) and y=a(sin⁡θ−θcos⁡θ)y=a(\sin \theta-\theta \cos \theta). What is d2ydx2\frac{d^2 y}{d x^2} equal to?

Options

  1. Asec⁡2θ\sec ^2 \theta
  2. B−cosec⁡2θ-\operatorname{cosec}^2 \theta
  3. Csec⁡3θaθ\frac{\sec ^3 \theta}{a \theta}
  4. DNone of these

Correct answer

C. sec⁡3θaθ\frac{\sec ^3 \theta}{a \theta}

Step-by-step solution

The correct answer is option(C)
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