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 \[\angle OQP={{30}^{o}}\]

Which of the following steps of construction is INCORRECT while drawin

1.	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
Answer» B. Only III

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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 \[\angle OQP={{30}^{o}}\]

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