Find the locus of a point, such that the join of `(-5,1)a n d(3,2)`subtends a right angle at the moving point.

Find the locus of a point, such that the join of `(-5,1)a n d(3,2)`sub

1.	Find the locus of a point, such that the join of `(-5,1)a n d(3,2)`subtends a right angle at the moving point.
Answer» `y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)` Equation of AB `y-1=(2-1)/(3+5)(x+5)` `y-1=1/8(x+5)` `m=1/8` Slope of PD=-8 at point(h,k) `y-k=-8(x-h)`.

A point moves so that the sum of its distances from `(a e ,0)a n d(-a e ,0)`is `2a ,`prove that the equation to its locus is `(x^2)/(a^2)+(y^2)/(b^2)=1`, where `b^2=a^2(1-e^2)dot`
Find the point to which the origin should be shifted so that theequation `y^2-6y-4x+13=0`is transformed to the form `y^2+A x=0.`
If the axes are shifted to the point `(1,-2)`without rotation, what do the following equations become?`2x^2+y^2-4x+4y=0``y^2-4x+4y+8=0`
Find the locus of a point, such that the join of `(-5,1)a n d(3,2)`subtends a right angle at the moving point.
Find the equation of the locus of a point which moves such that theratio of its distances from `(2,0)a n d(1,3)`is `5: 4.`
`A(5,3), B(3,-2)`are two fixed points; find the equation to the locus of a point `P`which moves so that the area of the triangle `P A B`is 9 units.