Roorkee - 01

Find the condition so that the line px + qy = r intersects the ellipse
x2/a2 + y2/b2 =1 in points whose eccentric anles differ by π / 4

3 Answers

62
Lokesh Verma ·

take the point be

(acosθ, b sinθ)

pacosθ + qbsinθ = r
qbsinθ = r-pacosθ
q2b2sin2θ = r2+p2a2cos2θ-2par cosθ

q2b2(1-cos2θ) = r2+p2a2cos2θ-2par cosθ

cos2θ(p2a2+q2b2) - 2parCosθ +r2-q2b2

13
deepanshu001 agarwal ·

how??

1
sriraghav ·

??

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