JEE Main 2024 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 4 April 2024, Shift 2, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

Consider a triangle ABC having the vertices

A(1,2)

B(\alpha,\beta)

and

C(\gamma,\delta)

and angles

\angle ABC=\frac{\pi}{6}

and

\angle BAC=\frac{2\pi}{3}

. If the points B and C lie on the line

y=x+4

, then

\alpha^2+\gamma^2

is equal to ______

Official answer

NTA final key.