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s.t every pair of lines can be represented by ax^2+2hxy+by^2+k(x^2+y^2) k is const

s.t every pair of lines can be represented by ax^2+2hxy+by^2+k(x^2+y^2) k is const

Grade:Upto college level

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear akash

ax^2+2hxy+by^2+k(x^2+y^2)=0

(a+k)x2 +2hxy +(b+k)y2 =0

a'x2 +2hxy +b'y2 =0   this is the general form of pair of st line through origin so every line can be represented in above manar


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