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[" Normals at "(x_(1),y_(1)),(x_(2),y_(2))" and "(x_(3),y_(3))" to "],[" the parabolay? "4x" are concurrent at point "],[" perenty "y_(2)+y_(2)y_(3)+y_(3)y_(1)=x_(1)x_(2)x_(3)" ,then "],[" locus of point "P" is part of a parabola,length "],[" of whose latus recturn is "],[[" (A) "3," (B) "4],[" (C) "9/2," (D) "6]]

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Normals at (x_(1),y_(1)),(x_(2),y_(2))and(x_(3),y_(3)) to the parabola y^(2)=4x are concurrent at point P. If y_(1)y_(2)+y_(2)y_(3)+y_(3)y_(1)=x_(1)x_(2)x_(3) , then locus of point P is part of parabola, length of whose latus rectum is __________.

Normals at (x_(1),y_(1)),(x_(2),y_(2))and(x_(3),y_(3)) to the parabola y^(2)=4x are concurrent at point P. If y_(1)y_(2)+y_(2)y_(3)+y_(3)y_(1)=x_(1)x_(2)x_(3) , then locus of point P is part of parabola, length of whose latus rectum is __________.

Normals at (x_(1),y_(1)),(x_(2),y_(2))and(x_(3),y_(3)) to the parabola y^(2)=4x are concurrent at point P. If y_(1)y_(2)+y_(2)y_(3)+y_(3)y_(1)=x_(1)x_(2)x_(3) , then locus of point P is part of parabola, length of whose latus rectum is __________.

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