| A line passes through the point (3, 5) and makes an angle of \[135{}^\circ \] with the X-axis. The equation of the line is |
A) \[x+y-8=0\]
B) \[x-y+8=0\]
C) \[x-y+8=0\]
D) \[x+y+8=0\]
Correct Answer: A
Solution :
| The equation of the line is |
| \[\frac{y-5}{x-3}=\tan 135{}^\circ =\tan \,\,(180{}^\circ -45{}^\circ )\] |
| \[=-\tan 45{}^\circ =-1{}^\circ \] |
| \[\Rightarrow \] \[y-5=-x+3\] |
| \[\therefore \]Equation of line is \[x+y-8=0.\] |
You need to login to perform this action.
You will be redirected in
3 sec
