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x2+2xysecthita+y2=0..solve this equation to get two separate straight lines......plz mention those straight lines also...thanks...

x2+2xysecthita+y2=0..solve this equation to get two separate straight lines......plz mention those straight lines also...thanks...

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Deab shivanshi

for the given equation to represent two seperate line

h2 -ab>0

sec2θ -1>0

sec2θ >1

θ will take all the value except intigral multiple of ∏

seperate lines are

y=m1x           y=m2x


where m1.m2  = [-h ±√h2-ab ]/b

                     = -secθ ±√sec 2θ-1

                     =-secθ ±tanθ

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Badiuddin


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