AP EAMCET · Maths · Straight Lines
Let \(A, B\) and \(C\) be three points in a plane. The locus of a point \(P\) moving such that \(P A^2+P B^2=2 P C^2\) is a
- A Straight line
- B Pair of straight lines
- C Circle
- D Parabola
Answer & Solution
Correct Answer
(A) Straight line
Step-by-step Solution
Detailed explanation
Let \(A\left(x_1, y_1\right), B\left(x_2, y_2\right)\) and \(\left(x_3, y_3\right)\) and \(p(x, y)\) be points on \(x y\) plane. Now, \[ P A^2+P B^2=2 P C^2 \]…
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