Can you tell me how to get combined equation from two lines passing through the same point?
Can you tell me how to get combined equation from two lines passing through the same point?
shivam tiwari , 14 Years ago
Grade
Analytical Geometry> straight line...
2 Answersabhishek jaiswal
L1 : equation of line 1 : ax +by +c=0
L2 : equation of line 2 : px +qy +r=0
Required equation (L3):L1 + (lambda)*L2 where lambda is a constant
Lets say lambda = H(constant) dont know how to make lambda .
Then the eqution is : (a+ H*p)x+(b+H*q)y+(c+H*r)=0
to get the value of H(lambda) the point given satisfies all the 3 equations L1,L2 and L3 ,put the point in L3 to get value of lambda
Hope this helps
abhishek jaiswal
sorry it was my first reply to an answer so made a bit of mistake
the correct equation is L3:- L1+(lambda)*L2=0
this is the general equation of a line passing through the point of intersecti
Different values of lambda give different lines
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