Separate equations of the pair of lines x2+2xysec⁡θ+y2=0

Babenzgs

Babenzgs

Answered

2022-01-25

Separate equations of the pair of lines x2+2xysecθ+y2=0

Answer & Explanation

caoireoilns

caoireoilns

Expert

2022-01-26Added 12 answers

x2+2xysecθ+y2=0
x2y2+2xysecθ+1=0
xy=2secθ±4sec2θ42=secθ±tanθ=1±sinθcosθ
1±sinθcosθ=1±sinθcosθ1sinθ1sinθ
=1sin2θcosθ(1sinθ)
=cos2θcosθ(1sinθ)
=cosθ1sinθ

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