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mukul kant Grade: 12
        derivation (trick) for the point of intersection of a pair of straight lines with a curve (in 2 degree)
5 years ago

Answers : (3)

Jit Mitra
25 Points
										

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.

5 years ago
mukul kant
18 Points
										

Any similar method (generic) for intersection of two curves/ a curve and a line?

5 years ago
Jit Mitra
25 Points
										

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.

5 years ago
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