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प्रश्न
Draw a circle with center O and radius 3 cm. Take the point P and the point Q at a distance of 7 cm from the center of the circle on the opposite side of the circle such that their line of intersection passing through the center of the circle Draw a tangent to the circle from the point P and the point Q
उत्तर
Steps of construction:
- With centre O, draw a circle of radius 3 cm.
- Take point P and Q such that OP = 7 cm and OQ = 7 cm.
- Draw the perpendicular bisector of seg OP. It intersects OP in point M.
- Also, draw the perpendicular bisector of seg OQ. It intersects OQ in point N.
- With M as centre and radius equal to PM, draw an arc intersecting the circle in points R and with N as centre and radius equal to NQ, draw an arc intersecting the circle in points S.
- Draw rays PR and QS.
Rays PR and QS are the required tangents to the circle.
APPEARS IN
संबंधित प्रश्न
Draw a tangent at any point ‘P’ on the circle of radius 3.5 cm and centre O.
Draw the circle with centre C and radius 3.5 cm. Point B is at a distance 7 cm from the centre. Draw tangents to the circle from the point B.
Select the correct alternative for the following question.
The maximum number of tangents that can be drawn to a circle from a point out side it is .............. .
Draw a circle with centre O and radius 3.5 cm. Take point P at a distance 5.7 cm from the centre. Draw tangents to the circle from point P.
Draw any circle. Take any point A on it and construct tangent at A without using the centre of the circle.
Choose the correct alternative:
The tangents drawn at the end of a diameter of a circle are ______
| Draw a circle with center O and radius 3 cm |
| ↓ |
| Take any point P on the circle |
| ↓ |
| Draw ray OP |
| ↓ |
| Draw perpendicular to ray OP from point P |
To draw tangents to the circle from the endpoints of the diameter of the circle.
| Construct a circle with center O. Draw any diameter AB of it |
| ↓ |
| Draw ray OA and ray OB |
| ↓ |
| Construct perpendicular to ray OA from point A |
| ↓ |
| Construct perpendicular to Ray OB from point B |
Draw a circle of radius 3.4 cm, take any point P on it. Draw tangent to the circle from point P
Draw a circle of radius 4.2 cm, take any point M on it. Draw tangent to the circle from point M
Complete the following activity to draw tangents to the circle.
- Draw a circle with radius 3.3 cm and center O. Draw chord PQ of length 6.6 cm. Draw ray OP and ray OQ.
- Draw a line perpendicular to the ray OP from P.
- Draw a line perpendicular to the ray OQ from Q.
Draw a circle with center O and radius 3.4. Draw a chord MN of length 5.7 cm in a circle. Draw tangents to the circle from point M and N
Draw a circle of radius 4.2 cm. Draw arc PQ measuring 120°. Draw a tangent to the circle from point P and point Q
Draw a circle of radius 3 cm and draw chord XY 5 cm long. Draw the tangent of the circle passing through point X and point Y (without using the center of the circle)
Draw a circle with radius 3 cm. Construct a square such that each of its side will touch the circle from outside
Take point P and Q and draw a circle passing through them. Draw a tangent AB to the circle without using the centre of the circle.
Draw a circle of radius 3.2 cm and centre 'O'. Take any point P on it. Draw tangent to the circle through point P using the centre of the circle.
Draw a circle of suitable radius. Take point T on it. Draw a tangent through point T.
