AP EAMCET · Maths · Straight Lines
The locus of a point \(P(x, y)\) satisfying the equation \(\sqrt{(x-2)^2+y^2}+\sqrt{(x+2)^2+y^2}=4\), is
- A an ellipse
- B a parabola
- C a line segment
- D a circle
Answer & Solution
Correct Answer
(C) a line segment
Step-by-step Solution
Detailed explanation
Given, equation \[ \sqrt{(x-2)^2+y^2}+\sqrt{(x+2)^2+y^2}=4 \] \(\Rightarrow\) Sum of distance of a point \(P(x, y)\) w.r.t. points \(A(2,0)\) and \(B(-2,0)=\) Distance between points \(A(2,0)\) and \(B((-2,0)\) \[ \Rightarrow \quad A P+B P=A B \] \(\therefore\) Locus of point…
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