gud paragraph

Locus of reflection of the foci of the ellipse x²/16+y²/12=1 in its tangents are the curves C₁ and C₂ .Curve C₁ and C₂ meet at P and Q.Let the line passing through P and Q be L.Hyperbola H is drawn with P and Q as its foci and having perpendicular asymmptotes and H_c is conjugate hyperbola of H.

1)Equation of C₁ and C₂ is _________

2)Equation of H_c is ___________

3)If straight line y=mx+c(neither passing through origin nor vertical is a tangent of H,then m lies in the interval________