Let a, b, c be in arithmetic progression. Let the centroid of the triangle with vertices (a, c), (2, b) and (a, b) be (10/3,7/3). If α, β are the roots of the equation a x² + bx + 1 = 0, then the value of α ² + β ² - α β is:

Properties of Triangle: JEE Main 2021 Mathematics question

JEE Main 2021 · 24 Feb, Evening shift · Q5039

JEE Main 202124 Feb, Evening shiftMathematicsMediumProperties of Triangle19× since 2002

Let a, b, c be in arithmetic progression. Let the centroid of the triangle with vertices (a, c), (2, b) and (a, b) be

\left( {{{10} \over 3},{7 \over 3}} \right)

. If

\alpha

\beta

are the roots of the equation

a{x^2} + bx + 1 = 0

, then the value of

{\alpha ^2} + {\beta ^2} - \alpha \beta

is :

JEE Main 2021 Properties of Triangle Question with Solution (24 Feb Evening shift, Q5039) | JEE Arc