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A line L parallel to y-axis passing thro...

A line L parallel to y-axis passing through P(h,k) is such that area enclosed by `L = 0. y=x and x + y + 2 = 0` is `k^2`, then locus of P is of the form `y = m_1x + c_1, & y = m_2x + c_2`, where `m_1m_2` is equal to-

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