Question
Draw a circle of radius 4 cm. Draw two lines touching the circumference of the circle such that they intersect at an angle 60⁰. Draw a quadrilateral joining the centre of circle, points at which lines are touching and at the point they intersect. [3 MARKS]
Answer: Option A
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Construction of circle: 1 Mark
Construction of intersecting lines: 1 Mark
Construction of quadrilateral: 1 Mark
Construction:
1) Draw a circle of radius 4 cm with centre O.
2) Take a point A on the circle. Join OA.
3) Draw a perpendicular to OA at A.
4) Draw a radius OB, making an angle of 120° (180° – 60°) with OA.
5) Draw a perpendicular to OB at point B. Let these perpendiculars intersect at P.
6) PA and PB are the required tangents inclined at angle of 60°
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