If in rectangular hyperbola normal at any point `P` meet the axes in `G` and `g` and `C` be centre of hyperbola then (A) `PG=Pg` (B)`PG=PC` (C)`Pg=PC` (D)None

Ifthe normal at P the rectangular hyperbola x^(2)-y^(2)=4 meets the axes in G and g and C is the centre of the hyperbola,then

If the normal at P to the rectangular hyperbola x^(2)-y^(2)=4 meets the axes at G and gandC is the center of the hyperbola, then PG=PC( b) Pg=PCPG-Pg(d)Gg=2PC

If the normal to the rectangular hyperbola x^(2) - y^(2) = 4 at a point P meets the coordinates axes in Q and R and O is the centre of the hyperbola , then

If the normal at P to the rectangular hyperbola x^(2) - y^(2) = 4 meets the axes of x and y in G and g respectively and C is the centre of the hyperbola, then 2PC =

If the normal at any point P on the ellipse cuts the major and minor axes in G and g respectively and C be the centre of the ellipse, then

The coordinates of a point on the rectangular hyperbola xy=c^(2) normal at which passes through the centre of the hyperbola are

The normal at three points P, Q, R on a rectangular hyperbola intersect at a point T on the curve. Prove that the centre of the hyperbola is the centroid of the triangle PQR.