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A parabola touches the coordinate axes at (25/3,0) and (0,25/4) then equation of directrix is

A parabola touches the coordinate axes at (25/3,0) and (0,25/4) then equation of directrix is

Grade:12th pass

1 Answers

ANSHUMAN SINGH
33 Points
5 years ago
Here x axis and y axis are perpendicular tangents for parabola and we know that point of intersection of perpendicular tangents of parabola lies on directrix of parabola, so origin lies on directrix in this case .here focus Will be (25/3,25/4) .so slope of directrix will be -4/3.now we have a point (0,0) on directrix and its slope -4/3 so we can write its equation which will be 4x+3y=0.

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