find k if the equation x2+3xy+2y2+ x-y+k=0 represents a pair of lines - Maths -

Question

find k if the equation x2+3xy+2y​2+
x-y+k=0 represents a pair of lines

Lovina Kansal · Accepted Answer

Dear student

ax2+2hxy+by2+2gx+2fy+c=0 represents a pair of  staright lines whenahghbfgfc=0Here in our case , we havex2+3xy+2y2+x-y+k=0131232-1212-12k=012k-14-33k+14+12-32-1=02k-14-9k-34-34-12=0-7k-94=0-7k=94k=-928
Regards

find k if the equation x2+3xy+2y​2+ x-y+k=0 represents a pair of lines.

find k if the equation x²+3xy+2y²+ x-y+k=0 represents a pair of lines.