Normal to a rectangular hyperbola at P meets the transverse axis at N. If foci of hyperbola are S and S', then find the value of `(SN)/(SP).`

P is a point on the hyperbola x^2/a^2-y^2/b^2=1 ; N is a foot of perpendicular from P on the transverse axis . The tangent to hyperbola at P meets the transeverse axis at T . If O is the center of the hyperbola ; then find the value of OTxxON.

P is a point on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1,N is the foot of the perpendicular from P on the transverse axis. The tangent to the hyperbola at P meets the transvers axis at Tdot If O is the center of the hyperbola, then find the value of O TxO Ndot

Equation of normal of rectangular hyperbola

P is a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , N is the foot of the perpendicular from P on the transverse axis. The tangent to the hyperbola at P meets the transverse axis at T . If O is the centre of the hyperbola, then OT . ON is equal to

P is a point on the hyperbola (x^(2))/(y^(2))-(y^(2))/(b^(2))=1 , and N is the foot of the perpendicular from P on the transverse axis. The tantent to the hyperbola at P meets the transverse axis at T. If O is the centre of the hyperbola, then OT.ON is equal to

If P is a point on the hyperbola (x^(2))/(7)-(y^(2))/(3)=1 and N is the foot of perpendicular from P on the transverse axis. The tangent to the hyperbola at P meets the transverse axis at T. If O is the centre of hyperbola,then OT.ON=(A)4(B)7(C)3 (D) 10

The normal to the rectangular hyperbola xy=4 at the point t_(1), meets the curve again at the point t_(2) Then the value of t_(1)^(2)t_(2) is

For hyperbola, If transverse axis = conjugate axis , then e =