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JEE Main & Advanced Mathematics Straight Line Question Bank Self Evaluation Test - Straight Lines & Pair Striaght Lines

  • question_answer
    What is the equation of the line which passes through (4, -5) and is perpendicular to\[3x+4y+5=0?\]

    A) \[4x-3y-31=0\]

    B) \[3x-4y-41=0\]

    C) \[4x+3y-1=0\]

    D) \[3x+4y+8=0\]

    Correct Answer: A

    Solution :

    [a] \[3x+4y+5=0\] or \[y=\frac{-3}{4}x+\frac{-5}{4}\] Slope \[=\frac{-3}{4}\] Slope of required line, \[m=\frac{-1}{-\frac{3}{4}}=\frac{4}{3}\] Also line passes through \[(4,-5)\] Equation of line, \[y+5=\frac{4}{3}(x-4)\] \[\Rightarrow 3y+15=4x-16\] \[\Rightarrow 4x-3y-31=0\]


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