Question

Find the equations to two lines represented by the equation
i) x2 - 5xy + 6y2 = 0​

Answer 1

Answer:

We have a = 1, h = −5/2 and b = 6. Also h2 = 25/4 > 6 = ab. Therefore, x2− 5xy + 6y2 = 0 represents a pair of lines passing through origin. Further, x2− 5xy = 6y2 = (x− 2y)(x− 3y) The lines are x − 2y = 0 and x − 3y = 0.Read more on Sarthaks.com - https://www.sarthaks.com/502122/find-the-lines-represented-by-the-equation-x-2-5xy-6y-2-0