🛠️ JEE➗ Maths

If the angle made by the tangent at the point ( \(x_0\),\(y_0\) ) on the curve \(x=12(t+\sin t \cos t), y=12(1+\sin t)^2…

Q1

If the angle made by the tangent at the point ( \(x_0\),\(y_0\) ) on the curve

\(x=12(t+\sin t \cos t), y=12(1+\sin t)^2\), with \(0<t<\frac{\pi}{2}\), with the positive \(\mathbf{x}\)-axis is \(\frac{\pi}{3}\), then \(y_0\) is equal to:

a

\(6(3+2 \sqrt{2})\)

b

\(3(7+4 \sqrt{3})\)

c

27

d

48

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