A) \[\left( \frac{4}{7},\,\frac{1}{7} \right)\]
B) \[\left( -\frac{4}{7},\,-\frac{1}{7} \right)\]
C) (-4, -1)
D) (4, 1)
Correct Answer: B
Solution :
Equation of line BC is \[4x+y=7\], then equation of line AD is \[x-4y+k=0\] but it passes through (0,0) hence \[k=0\] thus equation of \[AD=x-4y=0\] .....(i) Similarly the equation of \[AC=3x-y=0\]and BE is \[x+3y+1=0\] .....(ii) On solving (i) and (ii), the required orthocentre is \[\left( \frac{-4}{7},\frac{-1}{7} \right)\].You need to login to perform this action.
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