Solve any one of the following subquestions :
Draw a circle with centre O and radius 3.5 cm . Locate a point Q in the plane of the circle such the tangent drawn from Q to the circle makes an angle of ` 30^(@)` with OQ with the help of following steps. Consider the analytical figure as shown . Let OQ intersect the circle at A as hown and tangent from Q to the circle touch the circle at P then,
(a) What will be the measure of ` angle AOP` ?
(b ) Thus by drawing the central ` angle AOP` , P is located Construct tangent at P and locate Q.
(c ) Measure OQ and relate it with OP

Answer

(a) `angle AOP = 60^(@)`
(c ) ` OC = 7 cm , OP = 1/2 OQ`