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प्रश्न
Draw a circle of radius 4.5 cm. Take a point Pon its circumference. Construct a tangent to the circle at P without using the centre.
उत्तर
Steps of construction:
(i) Draw a cirde with radius 4.5 cm.
(ii) At any point P draw a chord PA.
(iii) Take any point Bon the circle and join PB and AB.
(iv) At P, draw ∠ APT equal to ∠ ABP
(v) PT is the required tangent.
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संबंधित प्रश्न
Using a ruler and a compass, construct a triangle ABC in which AB = 7 cm, ∠CAB = 60° and AC = 5 cm. Construct the locus of :
- points equidistant from AB and AC.
- points equidistant from BA and BC.
Hence construct a circle touching the three sides of the triangle internally.
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Using ruler and compasses only,
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- Prove that : AD = BD.
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- Construct a triangle ABC with the following data: AB = 3.5 cm, BC = 6 cm and ∠ABC = 120°.
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Constuct a triangle ABC with AB = 5.5 cm, AC = 6 cm and ∠BAC = 105°. Hence:
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- Construct the locus of points equidistant from B and C.
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( Use a pair of compasses and ruler only.)
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