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BCECE Engineering BCECE Engineering Solved Paper-2015

  • question_answer
    The direction ratios of the normal to the n plane passing through the points (1,-2, 3),  (-1, 2,-1)  and  parallel  to  the  line \[\frac{x-2}{2}=\frac{y+1}{3}=\frac{z}{4}\] are proportional to

    A) 2, 3, 4                   

    B) 4, 0, 7

    C) -2, 0,-1                 

    D) 2, 0, -1

    Correct Answer: D

    Solution :

    The equation of a plane passing through (1, - 2,3) is\[a(x-1)+b(y+2)+c(z-3)=0\]       ... (i) It passes through (-1,2, -1) and is parallel to the given line. \[\therefore \]  \[a(-2)+b(4)+c(-4)=0\] and        \[2a+3b+4c=0\] \[\Rightarrow \]               \[\frac{a}{28}=\frac{b}{0}=\frac{c}{-14}\] \[\Rightarrow \]               \[\frac{a}{2}=\frac{b}{0}=\frac{c}{-1}\] Hence, \[a:b:c=2:0:-1\] 


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