JEE Main & Advanced Mathematics Rectangular Cartesian Coordinates Question Bank Points related to triangle (Orthocente Circumcentre Incentre), Area of some geometrical figures Collinearity

  • question_answer
    If the points (-2,-5), (2,-2), (8,a) are collinear, then the value of a is      [MP PET 2002]

    A) \[-\frac{5}{2}\]

    B) \[\frac{5}{2}\]

    C) \[\frac{3}{2}\]

    D) \[\frac{1}{2}\]

    Correct Answer: B

    Solution :

    Let A be (- 2, - 5), B (2, -2) and C is (8, a), we know that, three points are collinear if slope of AB = slope of BC \[\Rightarrow \,\,\frac{-2+5}{2+2}=\frac{a+2}{8-2}\,\Rightarrow \,\,a=\frac{5}{2}\].


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