AP EAMCET · Maths · Straight Lines
Find the transformed equation of \(x \cos \theta+y \sin \theta=p\), when the axes are rotated through an angle \(\theta\).
- A \(x=p\)
- B \(y=p\)
- C \(x+y=p\)
- D \(x-y=p\)
Answer & Solution
Correct Answer
(A) \(x=p\)
Step-by-step Solution
Detailed explanation
Given \(x \cos \theta+y \sin \theta=P\) ...(i) The axis are rotated through angle \((\theta)\), then \(\begin{array}{c|c|c} & x & y \\ x & \cos \theta & -\sin \theta \\ \hline y & \sin \theta & \cos \theta \end{array}\)…
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