MHT CET 2025 Mathematics question

The acute angle between the diagonals of a parallelogram whose vertices are A(2, -1), B(0, 2), C(2, 3) and D(4, 0) is

(A)
(B)
(C)Correct
(D)

Answer: (C)

Solution

The vertices are in order (check: ), so the diagonals are AC and BD. Slope of , which is undefined, so AC is the vertical line . Slope of . The angle between a vertical line and a line of slope

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Question ID VK-101358