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 , 13 Years ago
Grade
Analytical Geometry> straight line...
2 Answersabhishek jaiswal
Last Activity: 13 Years ago
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
Last Activity: 13 Years ago
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
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on analytical geometry
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
analytical geometry
0 Answer Available
Last Activity: 2 Years ago
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)
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)
analytical geometry
0 Answer Available
Last Activity: 3 Years ago
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
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
analytical geometry
0 Answer Available
Last Activity: 3 Years ago
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.
analytical geometry
0 Answer Available
Last Activity: 3 Years ago
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
analytical geometry
0 Answer Available
Last Activity: 3 Years ago