10th Class Mathematics Constructions Question Bank Constructions

  • question_answer
    Arrange the steps of construction while constructing pair of tangents to a circle of radius 5 cm from a point 12 cm away from its centre. Steps of Construction
    Step I: Join OA and bisect it. Let P is the mid-point of OA.
    Step II: Join AB and AC. AB and AC are the required tangents. Length of tangents\[=11\text{ }cm\].                            
    Step III: With O as centre, draw a circle of radius 5 cm.
    Step IV: Taking P as centre and PO as radius, draw a circle intersecting the given circle at the points B and C.
    Step V: Take a point A at a distance of \[12\text{ }cm\]from O.                     

    A)  III, V, I, IV, II 

    B)  III, V, IV, I, II

    C)  II, V, IV, III, I 

    D)  ll. IV, II, I, III     

    Correct Answer: A

    Solution :

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


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