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प्रश्न
Draw a circle of radius 3 cm and construct a tangent to it from an external point without using the center.
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उत्तर
Steps of construction:
1) With centre O and radius = 3 cm, draw a circle.
2) Take any point P outside the circle.
3) Through the external point, P draw a straight line PBA meeting the circle at A and B.
4) Draw a semicircle on AP as diameter.
5) Draw BC ⊥ AP, which intersects the semicircle at C.
6) With centre P and radius, PC draw an arc cutting the circle at Q.
7) Join PQ. Then PQ is the required tangent.
संबंधित प्रश्न
Draw a line segment AB of length 8 cm. Taking A as centre, draw a circle of radius 4 cm and taking B as centre, draw another circle of radius 3 cm. Construct tangents to each circle from the centre of the other circle.
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Draw a line segment AB of length 8 cm. Taking A as centre , draw a circle of radius 4 cm and taking B as centre , draw another circle of radius 3 cm. Construct tangents to each circle form the centre of the other circle.
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Use ruler and compass only for answering this question.
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Draw two lines AB, AC so that ∠ BAC = 40°:
(i) Construct the locus of the center of a circle that touches AB and has a radius of 3.5 cm.
(ii) Construct a circle of radius 35 cm, that touches both AB and AC, and whose center lies within the ∠ BAC.
Construct a tangent to a circle of radius 4 cm from a point which is at a distance of 6 cm from its centre.
Construct a pair of tangents to a circle of radius 4 cm from a point P lying outside the circle at a distance of 6 cm from the centre.
