TS EAMCET · Maths · Circle
A line segment \(A M=a\) moves in the \(X O Y\) plane such that \(A M\) is parallel to the \(X\)-axis. If \(A\) moves along the circle \(x^2+y^2=a^2\), then the locus of \(M\) is
- A \(x^2+y^2=4 a^2\)
- B \(x^2+y^2=2 a x\)
- C \(x^2+y^2=2 a y\)
- D \(x^2+y^2=2 a x+2 a y\)
Answer & Solution
Correct Answer
(C) \(x^2+y^2=2 a y\)
Step-by-step Solution
Detailed explanation
The given equation of circle, \(x^2+y^2=a^2\) and length of \(A M=a\) Now, total length \(O M=O A+A M=2 a\) Since, point \(A\) moves along the circle, so it describes a circle with radius \(O M=2 a\), whose equation is…
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