If domain of the function $\log_e\left(\frac{6x^2 + 5x + 1}{2x - 1}\right) + \cos^{-1}\left(\frac{2x^2 - 3x + 4}{3x - 5}\right)$ is $(\alpha, \beta) \cup (\gamma, \delta]$, then $18(\alpha^2 + \beta^2 + \gamma^2 + \delta^2)$ is equal to ____________.

JEE Main 2023 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 8 April 2023, Shift 2, Maths Q21

Question 21 of 90 in this shift, Maths question 21 of 30, Section B.

If domain of the function

\log_e\left(\frac{6x^2 + 5x + 1}{2x - 1}\right) + \cos^{-1}\left(\frac{2x^2 - 3x + 4}{3x - 5}\right)

(\alpha, \beta) \cup (\gamma, \delta]

, then

18(\alpha^2 + \beta^2 + \gamma^2 + \delta^2)

is equal to ____________.

Official answer

NTA final key.