Question -
Answer -
Given:
The equation passesthrough (2,-1) and make an angle of 45┬░ with the line┬а6x + 5y тАУ 8 = 0
We know that theequations of two lines passing through a point x1, y1┬аandmaking an angle┬а╬▒┬аwith the given line y = mx + c are
Here, equation of thegiven line is,
6x + 5y тАУ 8 = 0
5y = тАУ 6x + 8
y = -6x/5 + 8/5
Comparing thisequation with y = mx + c
We get, m = -6/5
Where, x1┬а=2, y1┬а= тАУ 1,┬а╬▒┬а= 45┬░, m = -6/5
So, the equations ofthe required lines are
x + 11y + 9 = 0 and11x тАУ y тАУ 23 = 0
тИ┤ The equation of givenline is┬аx + 11y + 9 = 0 and 11x тАУ y тАУ 23 = 0