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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]

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Solution

## 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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