RAJASTHAN ­ PET Rajasthan PET Solved Paper-2004

  • question_answer
    The distance between the lines\[7x+24y+3=0\] and\[7x+24y+28=0\]is

    A)  1 unit            

    B) \[1\frac{6}{25}\]units

    C)  25 units 

    D)  None of these

    Correct Answer: A

    Solution :

     Given, lines are \[7x+24y+3=0\] and         \[7x+24y+28=0\] Distance between lines, \[d=\left| \frac{{{c}_{1}}\tilde{\ }{{c}_{2}}}{\sqrt{a_{1}^{2}+b_{1}^{2}}} \right|\] \[=\left| \frac{28-3}{\sqrt{{{(7)}^{2}}+{{(24)}^{2}}}} \right|\] \[=\frac{25}{\sqrt{49+576}}=\frac{25}{\sqrt{625}}\] \[=\frac{25}{25}=1\,unit\]


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