10th Class Mathematics Constructions Question Bank Constructions

Which of the following steps is INCORRECT to construct a tangent to the circle of radius 5 cm at the point P on it without using the centre of the circle. Steps of Construction

Step I: Draw a circle of radius 5 cm.

Step II: Mark a point P on it.

                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            Step III: Draw any chord PQ.

Step IV: Take a point R in the minor arc QP.

Step V: Join PR and RQ.

Step VI: Make\[~\angle QPT=\angle PRQ\].

Step VII: Produce TP to T. Then, PT is the required tangent at P.

A) Step II

B) Step IV

C) Step VI

D)        None of these

Correct Answer: B

Solution :

Step IV is incorrect as the point R will be taken in the major arc QP.