Question

Prove that (-a,-a\2) is the orthocentre of the triangle formed by the lines y=mix+a\mi, i=1,2,3,4;m1,m2,m3,m4 being the roots of the equation x^3-3x^2+2=0.

Answer 1

Answer:

Answer

Given:

Lines x2 – y2 = 0 and x + 6y = 18.

To find:

The coordinates of the orthocenter of the triangle formed by the lines x2 – y2 = 0 and x + 6y = 18.

Explanation:

The equation x2 − y2 = 0 represents a pair of straight line, which can be written in the following way: