The chord \( x+y=1 \) cute the curve \( y^{2}=12 x \) in points \( A \) and \( B \). The normal ... VIDEO
The chord \( x+y=1 \) cute the curve \( y^{2}=12 x \) in points \( A \) and \( B \). The normal at \( A \) and \( B \) intersect at \( C \). \( A \) third line from \( C \) cuts the \( y^{2}=12 x \) normally at \( D \). Then which of the following is/are correct
(a) Sum of slopes of normals at \( A \) and \( B \) is 3
(b) Coordinates of \( \mathrm{D} \) are \( (12,12) \)
(c) Tangent at \( \mathrm{D} \) intersect \( y \)-axis at \( (0,6) \)
(d) Coordinates of \( \mathrm{D} \) are \( (12,-12) \)
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