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Chords AB and CD of parabola `y^(2)=8x` intersect at E(2,0). Tangents at A and B intersect at `P(x_(1),y_(1))` and those at C and D intersect at `Q (x_(2),y_(2))`. Then `|x_(1)-x_(2)|=` |
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Answer» Correct Answer - C `because " "y+z=a+2x` `" "z+x=b+2y` `" "x+y=c+2z` `therefore " " "by adding we get "a+b+c=0` also `b=4a+(c)/(4)implies 16a-4b+c=0` implies x = 1 and `x = - 4` are roots of equation `ax^(2)+bx+c=0` `therefore " " "sum of roots" = 1+(-4)=-3` |
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