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JEE Main & Advanced JEE Main Paper Phase-I (Held on 09-1-2020 Morning)

  • question_answer
    Let C be the centroid of the triangle with vertices \[(3,-1),\,\,(1,3)\] and \[(2,4)\]. Let P be the point of intersection of the lines \[x+3y-1=0\] and\[3x-y+1=0\]. Then the line passing through the points C and P also passes through the point [JEE MAIN Held on 09-01-2020 Morning]

    A) \[(-9,-6)\] 

    B) \[(-9,-7)\]

    C) \[(9,7)\]            

    D) \[(7,6)\]

    Correct Answer: A

    Solution :

    [a] Centroid \[D(2,2)\] Point of intersection of given lines; \[P\left( -\frac{1}{5},\frac{2}{5} \right)\] Equation of line joining D and P; \[y-2=\frac{8}{11}\left( x-2 \right)\] \[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,11y=8x+6\] Only \[(-9,\,-6)\] satisfy this equation


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