AP EAMCET · Maths · Straight Lines
The equation \(\sqrt{(x-2)^2+y^2}+\sqrt{(x+2)^2+y^2}=4\), where \(-2 < x < 2\), represents a
- A Circle
- B Pair of lines
- C Parabola
- D Line segment
Answer & Solution
Correct Answer
(D) Line segment
Step-by-step Solution
Detailed explanation
Given, \[ \sqrt{(x-2)^2+y^2}+\sqrt{(x+2)^2+y^2}=4 \] According above equation Let \[ \begin{aligned} P & =(x, y) \\ A & =(2,0) \\ B & =(-2,0) \end{aligned} \] From Eq. (i) \[ P A+P B=A B \] \(\Rightarrow\) Eq. \(A, P, B\) are collinear \(\Rightarrow\) Eq. (i) represents a line…
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