Analytical Geometry> prove that four straight lines represente...

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

ANIKA , 10 Years ago

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1 Answers

Arun Kumar

Last Activity: 10 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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Analytical Geometry> prove that four straight lines represente...

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

ANIKA , 10 Years ago

Arun Kumar

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