Let (5, a/4) be the circumcenter of a triangle with vertices A(a,… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 29 January, Shift 1Conic Sections (Parabola, Ellipse, Hyperbola)

Let $\left(5, \frac{a}{4}\right)$ be the circumcenter of a triangle with vertices $A(a, -2)$ , $B(a, 6)$ , and $C\left(\frac{a}{4}, -2\right)$ . Let $\alpha$ denote the circumradius, $\beta$ the area, and $\gamma$ the perimeter of the triangle. Then $\alpha + \beta + \gamma$ is:

A
$60$
B
$53$
C
$62$
D
$30$

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