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SSC Sample Paper Mock Test-15 SSC CGL Tear-II Paper-1

  • question_answer
    Find the value of k for which the lines \[5x+3y+2=0\] and \[3x-ky+6=0\] and  perpendicular to each other

    A) 8

    B)  7      

    C)  6

    D)  5

    Correct Answer: D

    Solution :

    \[5x+3y+2=0\Rightarrow 3y=-5x-2\Rightarrow y=\frac{-5}{3}x-\frac{2}{3}\] \[\Rightarrow \]\[3x-ky+6=0\] \[\Rightarrow \]\[ky=3x+6\]\[\Rightarrow \]\[y=\frac{3}{k}x+\frac{6}{k}\] The lines will be perpendicular to each other if \[\frac{-\,5}{3}\times \frac{3}{k}=-1\]\[\Rightarrow \]\[k=5\] Hence, k = 5


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