Mathematics - Online Test
let us assume that 2x + y =7 and x + 2y = 7 are lines of regression of y on x and x on y respectively
therefore,
but sign of p will be same as and
hence,
Here the objective function is given by : F = 4x +6y .
Corner points | Z = 4x +6 y |
(0, 2 ) | 12………………..(Min.) |
(3,0) | 12………………….(Min.) |
(6,0 ) | 24 |
(6 , 8 ) | 72 |
(0 , 5 ) | 30 |
Maximum of F – Minimum of F = 72 – 12 = 30 .
The equations of the lines through ( 1 , 1 ) and making angles of with the line x + y = 0
If the lines make equal angles of 450 with the given line, x+y =0.
Then these lines must be perpendicular with each other.
This is possible only when the two lines are parallel to X axis and Y axis.
That is the equations should be x = a constant and y = a constant.
Since it passes through (1,1)
The equations should be x = 1 or x-1=0 and y=1 or y-1 =0
