If the normal at `P(theta)` on the hyperbola `(x^2)/(a^2)-(y^2)/(2a^2)=1` meets the transvers axis at `G ,` then prove that `A GdotA^(prime)G=a^2(e^4sec^2theta-1)` , where `Aa n dA '` are the vertices of the hyperbola.

If the normal at P(theta) on the hyperbola (x^(2))/(a^(2))-(y^(2))/(2a^(2))=1 meets the transvers axis at G, then prove that AG*A'G=a^(2)(e^(4)sec^(2)theta-1) where A and A' are the vertices 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 hyperola x^(2)/a^(2)-y^(2)/b^(2)=1 meets the transverse axis at G, prove that AG, A'G=a^(2) (e^(4) sec^(2) theta-1) . Where A and A' are the vertices 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(a sec theta,b tan theta) 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(theta) on the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 with focus S ,meets the major axis in G. then SG=

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 '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= (a) a^2(e^4 sec^2 theta-1) (b) a^2(e^4 tan^2 theta-1) (c) b^2(e^4 sec^2 theta-1) (d) b^2(e^4 sec^2 theta+1)