Advertisements
Advertisements
प्रश्न
Draw a circle with radius 3.4 cm. Draw a chord MN of length 5.7 cm in it. construct tangents at point M and N to the circle.
उत्तर १
Steps of Construction:
Step 1: Draw a circle of radius 3.4 cm with centre C. Mark any point M on it.
Step 2: Draw chord MN = 5.7 cm and an inscribed ∠NOM.
Step 3: With the centre O and any convenient radius draw an arc intersecting the sides of ∠MPN in points P and Q.
Step 4: Using the same radius and centre M, draw an arc intersecting the chord MN at point R.
Step 5: Taking the radius equal to d(PQ) and centre R, draw an arc intersecting the arc drawn in step 4. Suppose S be the point of intersection of these arcs. Draw line MS.
Step 6: With the centre M and any convenient radius draw an arc intersecting the sides of ∠OMN in points T and U.
Step 7: Using the same radius and centre N, draw an arc intersecting the chord MN at point V.
Step 8: Taking the radius equal to d(TU) and centre V, draw an arc intersecting the arc drawn in step 7. Suppose W be the point of intersection of these arcs. Draw line NW.
Here, line MS and NW are the required tangents to the circle at points M and N, respectively.
उत्तर २
Steps of Construction:
seg ON ⊥ linel l
seg OM ⊥ Iine m …….[Tangent is perpendicular to radius]
The perpendicular to seg ON and seg OM at points N and M respectively will give the required tangents at N and M.
संबंधित प्रश्न
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.
Construct a tangent to a circle with centre P and radius 3.2 cm at any point M on it.
Draw a circle of radius 3.3 cm Draw a chord PQ of length 6.6 cm. Draw tangents to the circle at points P and Q. Write your observation about the tangents.
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 .............. .
Select the correct alternative for the following question.
(3) If ∆ABC ~ ∆PQR and `(AB)/(PQ) = 7/5`, then ...............
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:
______ number of tangents can be drawn to a circle from the point outside the circle
Choose the correct alternative:
Which theorem is used while constructing a tangent to the circle by using center of a circle?
| Draw a circle and 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 4.2 cm. Draw a tangent to the circle at point P on the circle without using 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)
Draw a circle of radius 4.2 cm. Draw a tangent to the circle from a point 7 cm away from the center of the circle
Draw a circle with center O and radius 2.8 cm. Take point P in the exterior of a circle such that tangents PA and PB drawn from point P make an angle ∠APB of measure 70°
Draw a circle of suitable radius. Take point T on it. Draw a tangent through point T.
Draw a circle of radius 4 cm. Draw a point 8 cm away from its centre and construct a pair of tangents.
