Tangents are drawn to hyperbola , x2/9 - y2/4 =1 ,parallel to the straight line 2x -y =1 .The points of contact of the tangent on hyperbola are....

Slop of  tangent of parabola =2So equation of tangent will be, y = 2x+cnow for x29-y24=1.........1here a =3, b =2e = 1+b2a2=1+49=133Now c = ae=3133=913So equation of tangent , y =2x+913.........2Now solve the equation 1 and 2 to get the value of point of contact.

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