| Find the equation of the line which makes equal intercepts on the axis and passes through the point (4, 5). |
A) \[x+y=9\]
B) \[x+2y=7\]
C) \[2x+2y=7\]
D) \[2x+y=7\]
E) None of the above
Correct Answer: A
Solution :
| Let intercepts made by line be a. |
| Equation of line is \[\frac{x}{a}+\frac{y}{a}=1\] |
| \[\Rightarrow \] \[x+y=a\] ... (i) |
| But this line passes through (4, 5). |
| \[\therefore \] \[4+5=a\]\[\Rightarrow \]\[a=9\] |
| On putting this value in Eq. (i), we get |
| \[x+y=9\] |
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