10th Class Mathematics Constructions Question Bank Constructions

  • question_answer
    Which of the following steps of construction is INCORRECT while dividing a line segment of length \[3.2\text{ }cm\]in the ratio of \[3:5\] internally. Steps of Construction
    Step I: Draw \[AB=3.2\text{ }cm\]
    Step II: Construct an acute \[\angle BAX\].
    Step III: On AX make \[3+5+1\] i.e. 9 equal parts and mark them as \[{{A}_{1}},{{A}_{2}},{{A}_{3}},{{A}_{4}},.........{{A}_{9}}\]
    Step IV: Join B to \[{{A}_{8}}\] From \[{{A}_{3}}\] draw \[{{A}_{3}}C\]parallel to \[{{A}_{8}}B\]. Point C divides AB internally in the ratio\[3:5\].

    A) Thus, \[AC:CB=3:5.\]  Step II            

    B)  Step III                       

    C)  Step IV        

    D)         None of these

    Correct Answer: B

    Solution :

    Step III is incorrect as on X make\[3+5=8\]equal parts and mark them as \[{{A}_{1}},{{A}_{2}},{{A}_{3}}\] \[{{A}_{4}},\_\_\_\_\_\_\_\_{{A}_{8}}\].


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