If Q is a point on the locus of `x^(2)+y^(2)+4x-3y+7=0`, then find the equation of locus of P which divides segment OQ externally in the ratio 3:4, where O is origin.

If Q is a point on the locus of x^(2) + y^(2) + 4x - 3y +7=0 , then find the equation of locus of P which divides segment OQ externally in the ratio 3:4, where O is the origin.

If O is origin and R is a variable point on y^(2)=4x , then find the equation of the locus of the mid-point of the line segment OR.

If O is origin and R is a variable point on y^2=2x , then find the equation of the locus of the mid-point of the line segment OR.

If O is origin and R is a variable point on y^2=4x , then find the equation of the locus of the mid-point of the line segmet OR .

Find the equation of the locus of a point P which is equidistance from the st. line 3x-4y+2=0 and the origin.

At any point P on the parabola y^2-2y-4x+5=0 , a tangent is drawn which meets the directrix at Q. Find the locus of R which divides P externally in the ratio 1/2:1 .

Let O be the vertex and Q be any point on the parabola x^(2) = 8 y . If the point P divides the line segments OQ internally in the ratio 1 : 3 , then the locus of P is _

At any point P on the parabola y^(2)-2y-4x+5=0 a tangent is drawn which meets the directrix at Q. Find the locus of point R which divides QP externally in the ratio (1)/(2):1

If O be origin and A is a point on the locus y^(2)=8x .find the locus of the middle point of OA