If the ends of the base of an isosceles triangle are at (2,0) and (0,1) and the equation of one side is x=2 then the orthocenter of the triangle is
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a
(3/2,3/2)
b
(5/4,1)
c
(3/4,1)
d
(4/3,7/12)
answer is B.
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Detailed Solution
Form the figure,22+(y1−1)2=y12 4+y12+1−2y1=y12 5=2y1 or y1=5/2 Equation of the line form (2,5/2) to the given base isy−5/2=2(x−2) or 2y−5=4(x−2) At y=1 , −3/4=x−2 Or x=5/4