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`

A point moves so that the sum of its distances from (ae,0) and (-ae,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))

A point moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is always 6 . Then its locus is _

A point P moves so that the sum of its distance from the points (ae, 0), (-ae, o) is 2a. The locus of the point P is (0ltelt1)

A point moves so that the sum of squares of its distances from the points (1, 2) and (-2, 1) is always 6. Then its locus is

A point moves so that the sum of squares of its distances from the points (1,2) and (-2,1) is always 6. then its locus is

A point moves so that the sum of squares of its distances from the points (1, 2) and (-2,1) is always 6. Then its locus is

A(0,1) and B(0,-1) are 2 points.If a variable point P moves such that sum o its distance from A and B ia 4 Then the locus of P is the equation of the form of (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 find the value of a^(2)+b^(2)

A point P(x,y) moves so that the sum of its distances from the points F(4,2) and F(-2,2) is 8 units.Find the equation of its locus and show that it is an ellipse.

If the sum of the distances of a moving point from two fixed points (ae, 0) and (-ae, 0) be 2a , prove that the locus of the point is: x^2/a^2+ y^2/(a^2 (1-e^2) =1

If the sum of the distances of a moving point from two fixed points (ae, 0) and (-ae, 0) be 2a , prove that the locus of the point is: x^2/a^2+ y^2/(a^2 (1-e^2) =1