Two vertices of a triangle ABC are A(3,-1) and B(-2, 3), and its… | JEE Main 2024 Mathematics PYQ

MCQMediumJEE Main 2024 · 9 April, Shift 2Conic Sections (Parabola, Ellipse, Hyperbola)

Two vertices of a triangle $ABC$ are $A(3,-1)$ and $B(-2, 3)$ , and its orthocenter is $P(1, 1)$ . If the coordinates of the point $C$ are $(\alpha, \beta)$ and the center of the circle circumscribing the triangle $PAB$ is $(h, k)$ , then the value of $(\alpha + \beta) + 2(h + k)$ equals:

A
$51$
B
$81$
C
$5$
D
$15$

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Conic Sections (Parabola, Ellipse, Hyperbola)

Answer & step-by-step solution

Practice more Conic Sections (Parabola, Ellipse, Hyperbola) questions

Related questions