MHT CET · Maths · Circle
The equation of normal to the curve \(x^{2}+y^{2}=r^{2}\) at \(p(\theta)\) is
- A \(x \sin \theta-y \cos \theta=0\)
- B \(x \sin \theta+y \cos \theta=0\)
- C \(x \cos \theta \quad y \sin \theta=0\)
- D \(x \cos \theta+y \sin \theta=0\)
Answer & Solution
Correct Answer
(A) \(x \sin \theta-y \cos \theta=0\)
Step-by-step Solution
Detailed explanation
Equation of normal is \(\frac{x}{\cos \theta}=\frac{y}{\sin \theta}\)
\(\Rightarrow\) \(x \sin \theta-y \cos \theta=0\)
\(\Rightarrow\) \(x \sin \theta-y \cos \theta=0\)
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