find the equation of locus p,if the segment joining (2,3)and (-1.5) subtends a right angle at p
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Let Locus of point P be (x,y).
It is given that line segment joining (2,3)and(-1,5)subtends a right angle at p.
By Pythagorean theorem
(Hypotenuse)²= (Base)² + (Altitude)²
Using Distance formula
So, Locus of point p, having coordinate (x,y) is given by:
4x^2+9 y^2-52 x-78 y+12 x y=0
Thanks
Mark branliest
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