The slope of a line L passing through the point (-2,-3) is not defined. If the angle between the lines L and a x-2 y+3=0(a>0) is 45^{\circ}, then the angle made by the line x+a y-4=0 with positive X -axis in the anticlockwise direction is [TG EAPCET 9 May 2024 Shift 1]

Correct Answer is : π−Tan−1(12)

Straight Lines and Pair of Straight Lines

Section: Mathematics

Question : 24 of 26

Marks: +1, -0

The slope of a line L passing through the point (−2,−3) is not defined. If the angle between the lines L and ax−2y+3=0(a>0) is 45∘, then the angle made by the line x+ay−4=0 with positive X -axis in the anticlockwise direction is

[TG EAPCET 9 May 2024 Shift 1]

π−Tan−1(‌
1
2
)
‌
π
3
‌
2π
3
Tan−1(‌
1
2
)

Validate

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