The equation of straight line passing through the point of intersection of the lines represented by x^2+4 x y+3 y^2-4 x-10 y+3=0 and the point (2,2) is

Step-by-step solution

x^2+4 x y+3 y^2-4 x-10 y+3=0 Comparing with a x^2+2 h x y+b y^2+2 g x+2 f y+c=0 aligned & Point of intersection = ( b g-f h h^2-a b , a f-g h h^2-a b ) & (x₁, y₁ )= ( 3(-2)-(-5) 2 4-3 , -5-(-2) 2 4-3 )=(4,-1) aligned Equation of lines passing (4,-1) and (2,2) is y+1= 2+1 2-4 (x-4) 3 x+2 y-10=0