Let a be the length of a side of a square O A B C with O being the origin. Its side O A makes an acute angle \alpha with the positive x-axis and the equations of its diagonals are (\sqrt{3}+1) x+(\sqrt{3}-1) y=0 and (\sqrt{3}-1) x-(\sqrt{3}+1) y+8 \sqrt{3}=0. Then a^2 is equal to [8 Apr 2025 Shift 2]

Straight Lines and Pair of Straight Lines Part 2

Section: Mathematics

Question : 8 of 72

Marks: +1, -0

Let a be the length of a side of a square OABC with O being the origin. Its side OA makes an acute angle α with the positive x-axis and the equations of its diagonals are (√3+1)x+(√3−1)y=0 and (√3−1)x−(√3+1)y+8√3=0. Then a2 is equal to

[8 Apr 2025 Shift 2]

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