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prove that four straight lines represented by the equation 12x 2 +7xy -12y 2 =0 and 12x 2 +7xy -12y 2 -x +7y -10 form a square

prove that four straight lines represented by the equation 12x2 +7xy -12y2=0 and 12x2 +7xy -12y2 -x +7y -10 form a square

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1 Answers

Arun Kumar IIT Delhi
askIITians Faculty 256 Points
8 years ago
Hello Student,
12x2+7xy -12y2=0
12x2+7xy -12y2-x +7y -10
with first x=(-7y +- yroot(49+144*4))/24
you will get 2 lines from here
with second do the same thing
x=(-7y+1 +- root((7y-1)^2 – 4*(12)(-12y^2+7y-10)))
after solving you will find that under root part is actually a perfect square
Now you got 4 eq. you
Evaluate yourself.
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty

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