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thebomb2023
11.01.2021 •
Mathematics
A(3,0) and B(-3,0) are the two fixed points Find the locus of a point P at which AB subtend a right angle at P
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Ответ:
Step-by-step explanation:
Let's take a general point P(x,y). If there is a right angle at P then the slopes of the lines passing through AP and BP must be perpendicular.
Two lines of slopes m1 and m2 are perpendicular if:
m1*m2=-1
The slope of the line passing through P(x,y) and A(3,0) is:
The slope of the line passing through P(x,y) and B(-3,0) is:
Substituting in the equation:
Operating:
The locus is a circle centered at the origin with radius 3
Ответ:
Step-by-step explanation: