Let O be the origin and P be a variable ...

Let `O` be the origin and `P` be a variable point on the circle `x^(2)+y^(2)+2x+2y=0` .If the locus of mid-point of `OP` is `x^(2)+y^(2)+2gx+2fy=0` then the value of `(g+f)` is equal to -

Similar Questions

Explore conceptually related problems

Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The locus of the midpoint of PQ is y^(2)+4x+2=0y^(2)-4x+2=0x^(2)-4y+2=0x^(2)+4y+2=0

If O is the origin and Q is a variable points on x^(2)=4y. Find the locus of the mid pint of OQ .

If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c = 0 , then

If O is the origin and Q is a variable point on y^(2)=x* Find the locus of the mid point of OQ

If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

The length of the tangent drawn from any point on the circle x^(2) + y^(2) + 2gx + 2fy + a =0 to the circle x^(2) + y^(2) + 2gx + 2fy + b = 0 is

If O is the origin and OP, OQ are distinct tangents to the circle x^(2)+y^(2)+2gx+2fy+c=0 then the circumcentre of the triangle OPQ is