AP EAMCET · Maths · Straight Lines
For any value of \(\theta\), if the straight lines \(x \sin \theta+(1-\cos \theta) y=a \sin \theta\) and \(x \sin \theta-(1+\cos \theta) y+a \sin \theta=0\) intersect at \(P(\theta)\), then the locus of \(P(\theta)\) is a
- A straight line
- B circle
- C parabola
- D hyperbola
Answer & Solution
Correct Answer
(B) circle
Step-by-step Solution
Detailed explanation
Given, equations of straight lines are \(x \sin \theta+(1-\cos \theta) y=a \sin \theta\) ...(i) and \(x \sin \theta-(1+\cos \theta) y=-a \sin \theta\) Subtracting Eq. (ii) from Eq. (i), we get…
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