NTA Abhyas JEE Main2020MathematicsEllipsePractice
The angle between the pair of tangents drawn to the ellipse 3 x 2 + 2 y 2 = 5 from the point 1 , 2 is tan − 1 12 λ , then the value of λ is
Correct answer
5
Step-by-step solution
Equation of pair of tangents 3 x 2 + 2 y 2 − 5 6 = 3 x + 4 y − 5 2 9 x 2 − 4 y 2 − 24 x y + 30 x + 40 y − 55 = 0 tan θ = 12 5