If (α,β) is the orthocenter of the triangle ABC with vertices A(3… | JEE Main 2023 Mathematics PYQ

MCQMediumJEE Main 2023 · 15 April, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

If $(\alpha,\beta)$ is the orthocenter of the triangle $ABC$ with vertices $A(3,-7),\quad B(-1,2),\quad C(4,5)$ , then $9\alpha-6\beta+60$ is equal to

A
$25$
B
$30$
C
$35$
D
$40$

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