The point of intersection of the lines joining points i ^ + 2 j ^ , 2 i ^ - j ^ and - i ^ , 2 i ^ is

Step-by-step solution

Given that: i ^ + 2 j ^ ,   2 i ^ - j ^   &   - i ^ ,   2 i ^ A 1 , 2 ,   B 2 , - 1 ,   C - 1 , 0 ,   D 2 , 0 Equation of line passing through two points is y - y 1 = y 2 - y 1 x 2 - x 1 x - x 1 Equation of line though A B :   y - 2 = - 1 - 2 2 - 1 x - 1     ⇒   3 x + y = 5 Equation of line through C D :   y - 0 = 0 - 0 2 + 1 x + 1   ⇒   y = 0 Solving the above equations, we get 3 x + 0 = 5 ⇒ x = 5 3 ,   y = 0 Hence, th