Tangents are not that easy

Geometry Level 4

Tangent drawn at any point on the curve \( \left(\dfrac {x}{a} \right)^{2/3} + \left(\dfrac{y}{b}\right)^{2/3} = 1\). If \(p\) and \(q\) are its intercepts on the \(x\) and \(y\) axis, then \(\dfrac{p^2}{a^2} + \dfrac{q^2}{b^2} = \)

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