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 opposit - Geometry Mathematics 2

Advertisements
Advertisements
Diagram

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

Advertisements

Solution



Steps of construction:

  1. With centre O, draw a circle of radius 3 cm.
  2. Take point P and Q such that OP = 7 cm and OQ = 7 cm.
  3. Draw the perpendicular bisector of seg OP. It intersects OP in point M.
  4. Also, draw the perpendicular bisector of seg OQ. It intersects OQ in point N.
  5. 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.
  6. Draw rays PR and QS.
    Rays PR and QS are the required tangents to the circle.
  Is there an error in this question or solution?
Chapter 4: Geometric Constructions - Q.4

RELATED QUESTIONS

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.


Draw a circle of radius 3.6 cm. Draw a tangent to the circle at any point on it without using the centre.


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 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 a circle with centre P. Draw an arc AB of 100° measure. Draw tangents to the circle at point A and point B.


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 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.

  1. Draw a circle with radius 3.5 cm and take any point C on it.
  2. Draw chord CB and an inscribed angle CAB.
  3. With the center A and any convenient radius, draw an arc intersecting the sides of angle BAC in points M and N.
  4. Using the same radius, draw an arc intersecting the chord CB at point R.
  5. 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 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 4.2 cm. Draw a tangent to the circle from a point 7 cm away from the center of the circle


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)


AB = 6 cm, ∠BAQ = 50°. Draw a circle passing through A and B so that AQ is the tangent to the circle


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.


Share
Notifications



      Forgot password?
Use app×