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A B C is an equilateral triangle with A(...

`A B C` is an equilateral triangle with `A(0,0)` and `B(a ,0)` , (a>0). L, M and `N` are the foot of the perpendiculars drawn from a point `P` to the side `A B ,B C ,a n dC A` , respectively. If `P` lies inside the triangle and satisfies the condition `P L^2=P MdotP N ,` then find the locus of `Pdot`

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CENGAGE ENGLISH-STRAIGHT LINES-All Questions
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  3. A B C is an equilateral triangle with A(0,0) and B(a ,0) , (a>0). L, M...

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