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Draw a Circle of Radius 3 Cm. Form a Point P, 7 Cm Away from the Centre of the Circle, Draw Two Tangents to the Circle. Also, Measure the Lengths of the Tangents

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प्रश्न

Draw a circle of radius 3 cm. Form a point P, 7 cm away from the centre of the circle, draw two tangents to the circle. Also, measure the lengths of the tangents.

Draw a circle of radius 3 cm from a point 7 cm away from its centre, construct the pair of tangents to the circle and measure their lengths.

ज्यामितीय चित्र
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उत्तर

Steps of Construction

Step 1: Draw a circle with O as center and radius 3 cm.

Step 2: Mark a point P outside the circle such that OP = 7cm.

Step 3: Join OP. Draw the perpendicular bisector XY of OP. cutting OP at Q.

Step 4: Draw a circle with Q as center and radius PQ (or OQ), to intersect the given circle at the points T and T’.

Step 5: Join PT and PT.

Here, PT and PT’ are the required tangents.

PT = PT = 6.3cm(Approx)

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अध्याय 16: Constructions - CHAPTER TEST [पृष्ठ ३७०]

APPEARS IN

नूतन Mathematics [English] Class 10 ICSE
अध्याय 16 Constructions
CHAPTER TEST | Q 8. | पृष्ठ ३७०
आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 9 Constructions
Exercises 2 | Q 1

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