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JCECE Engineering JCECE Engineering Solved Paper-2012

  • question_answer
    Find the angle between the straight lines \[\frac{x+1}{2}=\frac{y-2}{5}=\frac{z+3}{4}\]and \[\frac{x-1}{1}=\frac{y+2}{2}=\frac{z-3}{-3}\]

    A) \[{{45}^{o}}\]                                    

    B) \[{{30}^{o}}\]

    C) \[{{60}^{o}}\]                                    

    D) \[{{90}^{o}}\]

    Correct Answer: D

    Solution :

    The angle between the given lines is given by                 \[\cos \theta =\frac{(2)(1)+(5)(2)+(4)(-3)}{\sqrt{4+25+16}\cdot \sqrt{1+4+9}}\]                 \[=0\] \[\Rightarrow \]               \[\theta ={{90}^{o}}\]


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