Grade 12Analytical Geometry
is there any formula for finding pt. of intersection between: ax+by+c=0bx+ay+c=0
is there any formula for finding pt. of intersection between:
ax+by+c=0
bx+ay+c=0
3 Answers
Ishan Mistry
Approved Tutor Answer11 Years agoYes, you can apply cross multiplication method(similar to solving determinants). In this eqns,
x = -y = 1 . Hence, x=y= -c
bc-ac ac-bc a2-b2 a+b
Abhishek Singh
i think that there is a better way , we see that when we replace x with y in any eqn. we get the other one which means that the st. line intersect at y=x line as they are symmeteric about it.
Put y=x in any line to easily get y=x=-c/a+b
daksh
how you can say that they intersect at y=x , its for sure that they are symmmetric but i think its only a special case that they intersect at y=x.
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