=1 Let equation of tangent to the ellipse be y=mx±√18m2−10 or (y−mx)2=18m2−10 ∴y2+m2x2−2mxy−18m2+10=0 m2(x2−18)−2mxy+y2+10=0 Given tangent makes α and β angles with transverse axis are complementary
∵α+β=
π
2
tan(α+β)= not defined
tanα+tanβ
1−tanαtanβ
= not defined And m1=tanαm2=tanβ m1+m2=