The distance of a point P from the striaght line x=-4 is equal to its distance from the point (3,0) . Find the equation to the locus of P.

A point P is such that its perpendicular distance from the line y – 2x + 1 = 0 is equal to its distance from the origin. Find the equation of the locus of the point P.

A point P(x,y) moves so that the sum of the distance from P to the coordinate axes is equal to the distance from P to the point A(1,1). The equation of the locus of P in the first quadrant is-

A point P(x,y) moves in the xy - plane in such a way that its distance from the point (0,4) is equal to (2)/(3) rd of its distance from the x axis , find the equation to the locus of P.

A point P is such that the sum of the squares of its distances from the two axes of co-ordinates is equal to the square of its distance from the line x-y=1 . Find the equation of the locus of P.

A point is such that its distance from the point (3,0) is twice its distance from the point (-3,0). Find the equation of the locus.

A point P moves so that its distance from the line given by x=-3 is equal to its distance from the point (3, 0). Show that the locus of P is y^(2)=12x .

A point P(x,y) moves in the xy-plane in such a way that its distance from the point (0,4) is equal to (2)/(3)rd of its distancefrom the x -axis find the equation to the locus of P.

The distance of the point (2, 3) from the line 4x-3y+26=0 is same as its distance from the line 3x-4y+p=0 . The value of p can be

A point moves so that square of its distance from the point (3,-2) is numerically equal to its distance from the line 5x-12y=3 . The equation of its locus is ..........

A point moves so that square of its distance from the point (3,-2) is numerically equal to its distance from the line 5x-12y=3 . The equation of its locus is ..........