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Draw a Circle of Radius 4 Cm. Take a Point P Out Side the Circle Without Using the Centre at the Circle. Draw Two Tangent to the Circle from Point P. - Mathematics

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प्रश्न

Draw a circle of radius 4 cm. Take a point P outside the circle without using the center at the circle. Draw two tangents to the circle from point P.

योग
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उत्तर


Steps of construction:

(i) Draw a circle of radius 4 cm.
(ii) Take a point P outside the circle and draw a secant PAB, intersecting the circle at A and B.
(iii) Produce AP to C such that AP = CP.
(iv) Draw a semicircle with CB as diameter.
(v) Draw PD and CB intersecting the semi-circle at D.
(vi) With P as centre and PD as a radius draw arcs to intersect the given circle at T and T'.
(vii) Join PT and PT'. Then PT and PT' are the required tangents.

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