10th Class Mathematics Constructions Question Bank Constructions

  • question_answer
    Arrange the following steps of construction while constructing a pair of tangents to circle, which are inclined to each other at an angle of \[{{60}^{o}}\] to a circle of radius 3 cm. Steps of Construction
    Step I: Draw any diameter AOB of this circle.
    Step II: Draw AM 1 AB and\[CN\bot OC\].
    Let AM and CN intersect each other at P.
    Then PA and PC are the desired tangents to the given circle, inclined at an angle of \[{{60}^{o}}\].
    Step III: Draw a circle with O as centre and radius 3 cm.
    Step IV: Construct \[\angle BOC={{60}^{o}}\]such that radius OC meets the circle at C.

    A)  III, I, IV, II       

    B)  III, II, IV, I                   

    C)  II, I, IV, III    

    D)         IV, II, III, I

    Correct Answer: A

    Solution :

    Correct sequence of steps is III, I, IV, II.


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