Extremities of a diagonal of a rectangle are ( 0, 0) and ( 4, 3). The equations of the tangents to the circumcircle of the rectangle which are parallel to the diagonal, are

The equation of the circumcircle of the rectangle is x(x−4)+y(y−3)=0⇒ x2+y2−4x−3y=0⇒(x−2)2+y−322=522The equations of the tangents to this circle which are parallel to the diagonal joining (0, 0) and (4, 3) arey−32=34(x−2)±521+916             ∵ Slope of the tangent=3/4i.e. 6x−8y+25=0