If (l , m) is the circumcentre of an equilateral triangle inscribed in the ellipse x^2/a^2+y^2/b^2 = 1 having vertices at points with eccentric angles \theta_1,\theta_2,\theta_3 , then 2/3 [cos (\theta_1-\theta_2) + cos (\theta_2-\theta_3) + cos (\theta_3-\theta_2)] =

Correct Answer is : 3l2a2+3m2b2 - 1

\frac{9l^2}{2a^2}+{9m^2}/b^2 - 1

\frac{3l^2}{a^2}+{3m^2}/b^2 - 1

\frac{3l^2}{2a^2}+{3m^2}/b^2 - 3/2

AP EAMCET Engineering 22 Apr 2019 Shift 1 Paper

Section: Mathematics

Question : 56 of 160

Marks: +1, -0

If (l , m) is the circumcentre of an equilateral triangle inscribed in the ellipse

= 1 having vertices at points with eccentric angles θ1,θ2,θ3 , then

[cos (θ1−θ2) + cos (θ2−θ3) + cos (θ3−θ2)] =

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