JEE Delight: Triangle formed by point of intersection of tangents drawn at the feet of normal

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Triangle formed by the point of intersection of tangents drawn at the feet of normal of parabola y^2=4x passing through (4,1). Find distance of focus from centroid, circumcenter and orthocenter. Also find its area? Support the channel:
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This is a pretty dense one.
Thank you very much sir.

grandson_f_phixis
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Sir pls start giving problems from ellipsr and hyperbola as well

anubhabmandal
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Sir can you tell me the source from where you give all these problems of co ordinate

bhumitbamel