Advertisements
Advertisements
प्रश्न
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.
उत्तर
Analysis:
Centre of the circle passing through P and Q must be equidistant from points P and Q.
∴ It must lie of perpendicular bisector of seg PQ.
Steps of construction:
- Take any two point P, Q and join them.
- Draw a perpendicular bisector of PQ.
- Take any point O on the perpendicular bisector and draw a circle with centre O and radius OP.
- Take any point A on the major arc of the circle and draw ∆PQA.
- By taking P as centre and any convenient distance on compass draw an arc intersecting the arms of ∠QPA in points T and R.
- With A as centre and the same distance in the compass, draw an arc intersecting the chord QA at point S.
- Taking radius equal to TR and S as centre, draw an arc intersecting the previously drawn arc. Name the point of intersection as B.
- Draw line AB. Line AB is the required tangent 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.
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.
Construct tangent to a circle with centre A and radius 3.4 cm at any point P on it.
Choose the correct alternative:
______ number of tangents can be drawn to a circle from the point outside the circle
Draw a circle of radius 3 cm and draw a tangent to the circle from point P on the circle
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 with a diameter AB of length 6 cm. Draw a tangent to the circle from the end points of the diameter.
Draw seg AB = 6.8 cm. Draw a circle with diameter AB. Draw point C on the circle apart from A and B. Draw line AC and line CB. Write the measure of angle ACB
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 P. Draw an arc AB of 100° measure. Perform the following steps to draw tangents to the circle from points A and B.
- Draw a circle with any radius and center P.
- Take any point A on the circle.
- Draw ray PB such ∠APB = 100°.
- Draw perpendicular to ray PA from point A.
- Draw perpendicular to ray PB from point B.
Do the following activity to draw tangents to the circle without using the center of the circle.
- Draw a circle with radius 3.5 cm and take any point C on it.
- Draw chord CB and an inscribed angle CAB.
- With the center A and any convenient radius, draw an arc intersecting the sides of angle BAC in points M and N.
- Using the same radius, draw an arc intersecting the chord CB at point R.
- Taking the radius equal to d(MN) and center R, draw an arc intersecting the arc drawn in the previous step. Let D be the point of intersection of these arcs. Draw line CD. Line CD is the required tangent to the circle.
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 with center O and radius 3.6 cm. Draw a tangent to the circle from point B at a distance of 7.2 cm from the center of the circle.
Draw a circle with center C and radius 3.2 cm. Draw a tangent to the circle from point P at a distance of 7.5 cm from the center of the circle
Draw a circle with a radius of 3.5 cm. Take the point K anywhere on the circle. Draw a tangent to the circle from K (without using the center of the circle)
AB = 6 cm, ∠BAQ = 50°. Draw a circle passing through A and B so that AQ is the tangent to the circle
