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

  • question_answer
     
    Directions: Q. 6 to 10
    Anmol is driving his car on a straight road towards East from his office to Noida and then to Delhi. At some point in between Noida and Delhi, he suddenly realises that there is not enough Petrol for the journey. Also, there is no Petrol pump on the road between these two cities.
    Based on the above information, answer the following questions.
    The value of y is equal to

    A) 2

    B) 3

    C) 4

    D) 5

    Correct Answer: B

    Solution :

    As we have,
                \[OP=5km\]
     \[\because \,\,\,OP=\sqrt{{{\left( 4 \right)}^{2}}+{{\left( y \right)}^{2}}}\]
     \[25=16+{{y}^{2}}\]              \[\left[ \because \,\,\,OP=5 \right]\]
     \[{{y}^{2}}=9\]
     \[y=3\]
     


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