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`        if A(-5,0),B(5,0) and P moves such that PA/PB=2/1 and mximum area of trianglePAB=100/3 sq. units then 	locus of the point P is a circle  	No. of such triangles PAB are 2	No. of such triangles PAB are 4	locus of the point is a parabola`
6 months ago

```							let coordinates of P be (x,y).given that PA= 2PBor PA^2= 4PB^2. now use distance formula(x+5)^2 + y^2= 4[(x – 5)^2 + y^2]or 50x= 3(x^2+y^2) + 75or (x – 25/3)^2 + (y – 0)^2= (20/3)^2, which obviously represents a circle.now by drawing diagram, you can see that there are 2 such triangles.kindly apprrove ;)
```
6 months ago
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