If the domain of the function $f(x) = \sec^{-1}\left(\frac{2x}{5x+3}\right)$ is $[\alpha, \beta) \cup (\gamma, \delta]$, then $|3\alpha + 10(\beta + \gamma) + 21\delta|$ is equal to ________.

JEE Main 2023 · MathsNumerical answerNumerical valueMediumCalculation

JEE Main 10 April 2023, Shift 2, Maths Q21

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

If the domain of the function

f(x) = \sec^{-1}\left(\frac{2x}{5x+3}\right)

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

, then

|3\alpha + 10(\beta + \gamma) + 21\delta|

is equal to ________.

Official answer

NTA final key.