If for θ ∈ , 0 , 3 ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ π − the points (x, y) = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π + θ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π + θ 6 tan 2 , 3 tan 3 lie on xy + α x + β y + γ = 0, then α 2 + β 2 + γ 2 is equal to

Question

Accepted Answer

75

If for θ ∈ , 0 , 3 ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ π − the points (x, y) = ⎟ ⎟ ⎠ ⎞ ⎜ ⎜ ⎝ ⎛ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π + θ ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ π + θ 6 tan 2 , 3 tan 3 lie on xy + α x + β y + γ = 0, then α 2 + β 2 + γ 2 is equal to

Related JEE Main General questions