If the normal at a pont `P` to the hyperbola `x^2/a^2 - y^2/b^2 =1` meets the x-axis at `G`, show that the `SG = eSP.S` being the focus of the hyperbola.

If the normal at a point P to the hyperbola x^2/a^2 - y^2/b^2 =1 meets the x-axis at G , show that the SG = eSP.S being the focus of the hyperbola.

If the normal at theta on the hyperbola x^(2)//a^(2)-y^(2)//b^(2)=1 meets the transverse axis at G, then AG. A'G=

If the normal at theta on the hyperbola x^(2)//a^(2) -y^(2) //b^(2) =1 meets the transverse axis at G , then AG . A'G =

If the normal at 'theta' on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the transverse axis at G , and A and A' are the vertices of the hyperbola , then AC.A'G=

If the normal at a point P to the hyperbola meets the transverse axis at G, and the value of SG/SP is 6, then the eccentricity of the hyperbola is (where S is focus of the hyperbola)

If the normal at a point P to the hyperbola meets the transverse axis at G, and the value of SG/SP is 6, then the eccentricity of the hyperbola is (where S is focus of the hyperbola)

If the normal at P(asectheta,btantheta) to the hyperbola x^2/a^2-y^2/b^2=1 meets the transverse axis in G then minimum length of PG is

If the normal at P(asectheta,btantheta) to the hyperbola x^2/a^2-y^2/b^2=1 meets the transverse axis in G then minimum length of PG is

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 =