question_answer

Which of the following steps of construction is INCORRECT while drawing a tangent to a circle of radius 5 cm and making an angle of 30° with a line passing through the centre. Steps of Construction

Step I: Draw a circle with centre O and radius\[2.5\text{ }cm\].

Step II: Draw a radius OA of this circle and produce it to B.

Step III: Construct an angle \[\angle AOP\] equal to the complement of \[{{30}^{o}}\] i.e. equal to\[{{150}^{o}}\].

Step IV: Draw perpendicular to OP at P which intersects OA produced at Q.

Clearly, PO is the desired tangent such that \[\angle OQP={{30}^{o}}\]

A)  Both I and III              

B)  Only III                       

C)  Both III and IV 

D)        Only I