Let C(α, β) be the circumcenter of the triangle formed by the lin… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 8 April, Shift 1Properties of Triangles

Let $C(\alpha, \beta)$ be the circumcenter of the triangle formed by the lines $4x + 3y = 69$ , $4y - 3x = 17$ , and $x + 7y = 61$ . Then $((\alpha - \beta)^2 + \alpha + \beta)$ is equal to:

A
$18$
B
$15$
C
$16$
D
$17$

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