Since, slope of line L passing through (−2,−3) is not defined ⇒‌‌L1:x=−2 and m1=±∞ and given line is ax−2y+3=0(a>0) m2=‌
a
2
Given, tan‌45∘=|‌
m2−m1
1+m1m2
| tan‌45∘=|‌
‌
a
2
−∞
1+‌
a
2
⋅∞
|‌ or ‌|‌
‌
a
2
+∞
1−‌
a
2
⋅∞
| ⇒a=2 (considering the 45∘ angle with the vertical line) Let θ be the angle made by the line x+ay−4=0 with positive X-axis in the anti-clockwise direction. ‌∴ ⇒θ=tan−1(−‌
