2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Straight Line

JEE Main & Advanced Mathematics Straight Line Question Bank Angle between two straight lines, Bisector of angle between two lines

  • question_answer
    If \[\frac{1}{a{b}'}+\frac{1}{b{a}'}=0,\] then lines \[\frac{x}{a}+\frac{y}{b}=1\] and \[\frac{x}{{{b}'}}+\frac{y}{{{a}'}}=1\] are  [MP PET 1984]

    A) Parallel     

    B) Inclined at \[{{60}^{o}}\]to each other

    C) Perpendicular to each other              

    D) Inclined at \[{{30}^{o}}\]to each other

    Correct Answer: C

    Solution :

               \[{{a}_{1}}{{a}_{2}}+{{b}_{1}}{{b}_{2}}=\frac{1}{a{b}'}+\frac{1}{{a}'b}=0\] Therefore, the lines are perpendicular.


You need to login to perform this action.
You will be redirected in 3 sec spinner