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The locus of a point P(h, k) such that ...

The locus of a point `P(h, k)` such that the slopes of three normals drawn to the parabola `y^2=4ax` from P be connected by the relation `tan^(- 1)m_1^2+tan^(- 1)m_2^2+tan^(- 1)m_3^2=alpha` is

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