AP EAMCET · Maths · Differential Equations
The differential equation of the family of curves \(r^2=a^2 \cos 2 \theta\) where ' \(a\) ' is an arbitrary constant is:
- A \(\frac{d r}{d \theta}=r \cot 2 \theta\)
- B \(\frac{d r}{d \theta}=r \cdot \tan 2 \theta\)
- C \(\frac{d r}{d \theta}=r \sin 2 \theta\)
- D \(\cos 2 \theta \cdot \frac{d r}{d \theta}+r \sin 2 \theta=0\)
Answer & Solution
Correct Answer
(D) \(\cos 2 \theta \cdot \frac{d r}{d \theta}+r \sin 2 \theta=0\)
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