2. Solved Papers
  3. JCECE Engineering

JCECE Engineering JCECE Engineering Solved Paper-2011

  • question_answer
    If the algebraic sum of the perpendicular distances from the points \[(2,\,\,0),\,\,\,(0,\,\,2)\] and \[(1,\,\,1)\] to a variable straight line be zero, then the line passes through the point

    A) \[(-1,\,\,1)\]                      

    B) \[(1,\,\,1)\]

    C) \[(1,\,\,-1)\]                      

    D) \[(-1,\,\,-1)\]

    Correct Answer: B

    Solution :

    Let the equation of the line\[ax+by+c=0\] Then, according to the given condition, \[\frac{2a+0b+c}{\sqrt{{{a}^{2}}+{{b}^{2}}}}+\frac{0+2b+c}{\sqrt{{{a}^{2}}+{{b}^{2}}}}+\frac{a+b+c}{\sqrt{{{a}^{2}}+{{b}^{2}}}}=0\] \[\Rightarrow \]               \[3a+3b+3c=0\] \[\Rightarrow \]               \[a+b+c=0\] This shows \[ax+by+c=0\] passes through the fixed point\[(1,\,\,1)\].


You need to login to perform this action.
You will be redirected in 3 sec spinner