If the angle made by the tangent at the point (x₀, y₀) on the curve x = 12(t + sin t cos t), y = 12(1 + sin t)², 0 < t < (π)/2, with the positive x-axis is (π)/3, then y₀ is equal to:

Limit, Continuity and Differentiability: JEE Main 2022 Mathematics question

JEE Main 2022 · 25 Jun, Evening shift · Q2786

JEE Main 202225 Jun, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If the angle made by the tangent at the point (x₀, y₀) on the curve

x = 12(t + \sin t\cos t)

y = 12{(1 + \sin t)^2}

0 < t < {\pi \over 2}

, with the positive x-axis is

{\pi \over 3}

, then y₀ is equal to:

JEE Main 2022 · 25 Jun, Evening shift · Q2786

JEE Main 202225 Jun, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

If the angle made by the tangent at the point (x₀, y₀) on the curve

x = 12(t + \sin t\cos t)

y = 12{(1 + \sin t)^2}

0 < t < {\pi \over 2}

, with the positive x-axis is

{\pi \over 3}

, then y₀ is equal to: