If the chords of contacts of the tangents from the points
x1, y1 and x2, y2 to the hyperbola 2x2−3y2=6
are at right angle, then 4x1x2+9y1y2 is equal to
–1
0
6
–12
Equation of the chords of contacts are
2xx1−3yy1=6,2xx2−3yy2=6
Since they are at right angles 2x13y1×2x23y2=−1
⇒ 4x1x2+9y1y2=0.