MHT CET 2023 Mathematics question
The sides of a rectangle are given by the equations x = -2, x = 4, y = -2 and y = 5 Then the equation of the circle, whose centre is the point of intersection of the diagonals, lying within the rectangle and touching only two opposite sides, is
Answer: (D)
Solution
The rectangle has vertices , so the diagonals meet at the centre . A circle with centre has the form , so the required equation must contain . This eliminates (a)
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