10th Class Mathematics Coordinate Geometry Question Bank Case Based MCQs - Coordinate Geometry

  • question_answer
    Directions: Q. 1 to 5
    Malika and Karishma are friends living on the same street in Govindpuri.
    Karishma's house is at the intersection of one street with another street on which there is a temple. They both study in the same school and that is not far from Karishma's house.
    Suppose the school is situated at the point O, i.e., the origin, Malika's house is at P Karishma's house is at Q and temple is at R.
    Based on the above information, answer the following questions.
    How far is Malika's house from Karishma's house?

    A) 3 units

    B) 4 units

    C) 5 units

    D) 2 units

    Correct Answer: B

    Solution :

    In the figure, the coordinates of points are P(4, 6), Q(4, 2) and R (8, 2).
    Given, Malika's house is at P (4, 6) and Karishma's house at Q,(4, 2)
    \[\therefore\] Required distance = PQ
    \[=\sqrt{{{\left( 2-2 \right)}^{2}}+{{\left( 4-4 \right)}^{2}}}\]
    \[=\sqrt{16+0}=4\] units
     


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