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Draw a circle with the help of a bangle. Take a point outside the circle. Construct the pair of tangents from this points to the circle. |
Answer» Solution :Given, a circle draw by using a BANGLE and a point R, outside the circle. Steps of Construction : 1. Draw a circle by using the bangle. 2. Draw two chords Ap and MT. Perpendicular BISECTORS of AP and MT intersect each other at O which is the centre of the circle. 3. Take a point R outside the circle. Join OR and bisect it. 4. Let Q be the mid-point of OR. Taking Q as centre and OQ as radius draw a dotted circle which intersects the given circle at S and N. 5. Join RS and RN. Thus, RS and RN are the required tangents from R. Justification : Join OS and ON. Tehn, `angleOSR` is the angle lies in the semi-circle, so `""angleOSR=90^(@)` `implies""OS"||"SR` Since, OS is the radius of the circle with centre O. So, SR has to be a tangent to the circle with centre O. Similarly RN is also a tangent to the circle with centre at O. ![]() |
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