If the lines L1: ax + (1-A) y = 3, L2: (A-1) x + (2a + 3) y = 2 are perpendicular to each other, then the value of a is () A. 0 or - 32B. 1 or - 3C. - 3D. 1 | Math enthusiast | Mathematical art

If the lines L1: ax + (1-A) y = 3, L2: (A-1) x + (2a + 3) y = 2 are perpendicular to each other, then the value of a is () A. 0 or - 32B. 1 or - 3C. - 3D. 1

When a = 1, the slope of line L1 does not exist, the slope of line L2 is equal to 0, and the two lines are perpendicular to each other, so a = 1 satisfies the condition. When a = - 32 & nbsp;, the slope of line L1 is not equal to 0, the slope of line L2 does not exist, and the two lines are not perpendicular to each other, so a = - 32 & nbsp; does not satisfy the condition

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