The point of intersection of the pair of lines (x^2+x y+2 y^2-3 x+2 y+4=0 ) is

Step-by-step solution

The point of intersection of the pair of lines (f(x, y) x^2+x y+2 y^2-3 x+2 y+4=0 ) is same as the intersection of curve obtaining after partial differentiating of the curve w.r.t. (x ) and (y ) respectively. ( aligned & f x =2 x+y-3=0 (i) and & f y =x+4 y+2=0 (ii) aligned ) By cross-multiplication method, we get ( array rlrl & & x 2+12 & = -y 4+3 = 1 8-1 & (x, y) & =(2,-1) array ) Hence, option (d) is correct.