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Properties Of Triangle

JEE Main 2024 (Online) 9th April Evening Shift

MCQ+4 / -12024

Two vertices of a triangle \(\mathrm{ABC}\) are \(\mathrm{A}(3,-1)\) and \(\mathrm{B}(-2,3)\), and its orthocentre is \(\mathrm{P}(1,1)\). If the coordinates of the point \(\mathrm{C}\) are \((\alpha, \beta)\) and the centre of the of the circle circumscribing the triangle \(\mathrm{PAB}\) is \((\mathrm{h}, \mathrm{k})\), then the value of \((\alpha+\beta)+2(\mathrm{~h}+\mathrm{k})\) equals

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