Grade 11Analytical Geometry
The locus of the centre of circles touching the y-axis and circle x + y – 2x = 0 externally is
The locus of the centre of circles touching the y-axis and circle x + y – 2x = 0 externally is
1 Answer
Vikas TU
First find out the radius of the circle given:
x^2 + y^2 – 2x = 0 .
And assume locus of center be P(a,b)
and T be touching point and And foot of a perpendicular line from P to H.
then by geomtery the relation would come out as:
PC – 2 = a = PH = PT
where C is the centre for the given circle.
Now U can do further easilyy.
Try it.
put PC magnitude.
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