Question
Question: The equation\(\sqrt{(x - 2)^{2} + (y - 1)^{2}}\)+ \(\sqrt{(x + 2)^{2} + (y - 4)^{2}} = 5\) represen...
The equation(x−2)2+(y−1)2+ (x+2)2+(y−4)2=5
represents.
A
Circle
B
Ellipse
C
Line segment
D
None
Answer
Line segment
Explanation
Solution
(PA + PB) = AB
(AB) = 16+9=5 hence locus is the line segment AB