circles

q4, how to solve it?
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11 Replies
iTeachChem Helper
@Apu
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SirLancelotDuLac
Draw figure and use the fact that tangent is perpendicular to radius. Then diameter of the circumcircle of PBA is line joining P and common center. So locus is also a circle with radius half of the outer circle I think
hardcoreisdead
hardcoreisdead5mo ago
plot , obtain coc from 50,114.1 , determine intersection points of coc with c2 now u have three points so find eqn of circle and determine the values being asked ik my approach is quite big, trying to think of a smaller one
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hardcoreisdead
hardcoreisdead5mo ago
could be one approach but idts this is universally true
SirLancelotDuLac
It is for concentric circles.
SirLancelotDuLac
Line joining center and point on outer circle is diameter for the smallest circle (as it subtends right angle)
hardcoreisdead
hardcoreisdead5mo ago
oh haan makes sense, nice approach
itsav23
itsav23OP5mo ago
Oh yes, got it! Since the tangents are perpendicular to the radii, the circumcenter lies on the line joining P and the common center. Given the circles are concentric...the locus forms another circle, and the radius being half thus 5√2 +solved @SirLancelotDuLac
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