Assuming P lies on H
Origin: O(0,0)
Point P: P(x_1, y_1)
H: x^2/a^2 + y^2/b^2 = 1
OP is perpendicular to Tangent @ P
--> ie, (m_op).(m_tangent@P) = -1 <-- the condition required
m_op = (y_1-0)/(x_1-0) = y_1/x_1
m_tangent@P:
Differentiate H wrtx: (2x/a^2) + (2y/b^2)*dy/dx = 0...