if the lines ax^2+2hxy+by^2=0

Question

if the lines ax^2+2hxy+by^2=0 be two sides of a parallelogram and the line lx+my+n=0 be one of its diagonal , show that the eqn of the other diagonal is y(bl-hm)=x(am-hl)

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Analytical Geometry> if the lines ax^2+2hxy+by^2=0...

if the lines ax^2+2hxy+by^2=0 be two sides of a parallelogram and the line lx+my+n=0 be one of its diagonal , show that the eqn of the other diagonal is y(bl-hm)=x(am-hl)

hansa iit , 14 Years ago

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Analytical Geometry> if the lines ax^2+2hxy+by^2=0...

if the lines ax^2+2hxy+by^2=0 be two sides of a parallelogram and the line lx+my+n=0 be one of its diagonal , show that the eqn of the other diagonal is y(bl-hm)=x(am-hl)

hansa iit , 14 Years ago

AKASH GOYAL AskiitiansExpert-IITD

LIVE ONLINE CLASSES

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The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is

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show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)

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show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0

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