derivation (trick) for the point of intersection of a pair of straight lines with a curve (in 2 degree)
mukul kant , 14 Years ago
Grade 12
Analytical Geometry> pair of straight lines...
3 AnswersJit Mitra
S = ax2+by2+2gx+2fy+2hxy+c = 0
Partially differentiate S w.r.t x and y respectively.
2ax + 2g + 2hy = 0
ax+hy+g = 0 ...............(i)
2by + 2f + 2hx = 0
by + hx + f = 0 ..............(ii)
Solve (i) and (ii) for x and y.
(x,y) is the point of intersection.
Approved Last Activity: 14 Years ago
mukul kant
Any similar method (generic) for intersection of two curves/ a curve and a line?
Jit Mitra
This method isnt actually to find the intersection of two curves. This is used to find the centre of the curve. Incase of pair of straight lines, it is infact, the point of their intersection. In ellipse and hyperbola, u get the center.
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