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 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 number of tangents that can be drawn to a circle at a point on the circle 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.
Complete the following activity to draw a tangent to a circle at a point on the circle.
Draw a circle of radius 2.2 cm with O as centre.
↓
Take any point P on the circle and draw ray OP.
↓
Draw a perpendicular line to the ray at point P.
↓
Name the perpendilcular line as l
l is the tangent at point P.
Construct tangent to a circle with centre A and radius 3.4 cm at any point P on it.
| Draw a circle and take any point P on the circle. Draw ray OP |
| ↓ |
| Draw perpendicular to ray OP from point P |
Draw a circle of radius 3 cm. Take any point K on it. Draw a tangent to the circle from point K without using center of the circle.
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 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
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 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 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
Draw any circle with radius greater than 1.8 cm and less than 3 cm. Draw a chord AB 3.6 cm long in this circle. Tangent to the circle passing through A and B without using 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.
