If the tangents are drawn from (3, 2) to the hyperbola x2−9y2=9. Find the area of the triangle (in sq. unit) that these tangents form with their chord of contact.
Equation of the chord of contact of the tangents drawn from the point (3, 2) to the hyperbola is
Equation of the hyperpola is x2−9y2=9 ..........(2)
Solving equation of chord of contact of hyperpola with the equation of hyperpola.
substituting x=3+6y in the equation of hyperpola
y=0 & y=−43
⇒ When y=0,x=3
point of intersection being (3,0) & (−5,−43)
Area of triangle formed by points (3,2),(3,0) & (−5,−43) is