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Mathematics - Point Question with Solution | TestHub

MathematicsPointLocusMedium2 minPYQ_2021
MathematicsMediumnumerical

Let a pointPbe such that its distance from the point5,0is thrice the distance ofPfrom the point-5,0.If the locus of the pointPis a circle of radiusr,then4r2(in the nearest integer) is equal to __________.

Answer:
56.00
Solution:

Let point is h,k

So, h-52+k2=3h+52+k2

8x2+8y2+100x+200=0

x2+y2+252x+25=0

r2=25242-25

4r2=2524-100

4r2=156.25-100

4r2=56.25

After round off 4r2=56

Stream:JEESubject:MathematicsTopic:PointSubtopic:Locus
2mℹ️ Source: PYQ_2021

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