Advertisements
Advertisements
प्रश्न
Draw a pair of tangents to a circle of radius 3 cm, which are inclined to each other at an angle of 60°.
उत्तर
The tangents can be constructed in the following manner:
(i) Draw a circle of radius 3 cm with the centre as O.
(ii) Take a point A on the circumference of the circle and join OA. Draw a perpendicular to OA at point A.
(iii) Draw a radius OB, making an angle of 120° [(180° − 60°)] with OA.
(iv) Draw a perpendicular to OB at point B. Let both the perpendiculars intersect at point P.
PA and PB are the required tangents at an angle of 60°.
APPEARS IN
संबंधित प्रश्न
Draw a line AB = 5 cm. Mark a point C on AB such that AC = 3 cm. Using a ruler and a compass only, construct :
- A circle of radius 2.5 cm, passing through A and C.
- Construct two tangents to the circle from the external point B. Measure and record the length of the tangents.
Draw a circle of radius 3 cm. Mark a point P at a distance of 5 cm from the centre of the circle drawn. Draw two tangents PA and PB to the given circle and measure the length of each tangent.
Draw a circle of diameter 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.
The bisectors of angles A and B of a scalene triangle ABC meet at O.
- What is the point O called?
- OR and OQ are drawn perpendicular to AB and CA respectively. What is the relation between OR and OQ?
- What is the relation between angle ACO and angle BCO?
Draw a circle circumscribing a regular hexagon with side 5 cm.
Draw an inscribing circle of a regular hexagon of side 5.8 cm.
Draw two tangents to a circle of radius 3.5 cm form a point P at a distance of 6.2 cm form its centre.
Using ruler and compasses only, draw tangents to a circle of radius 3 cm from a point 5 cm from the centre. What is the length of each of them ?
Draw a circle at a radius of 4 cm. Take a point on it. Without using the centre at the circle, draw a tangent to the circle at point P.
A pair of tangents can be constructed from a point P to a circle of radius 3.5 cm situated at a distance of 3 cm from the centre.
