मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

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

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

आकृती

उत्तर



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.
shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 4: Geometric Constructions - Q.4

संबंधित प्रश्‍न

Draw a circle of radius 3.5 cm. Take any point K on it. Draw a tangent to the circle at K without using centre of the circle.


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 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 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.


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.


Choose the correct alternative:

Which theorem is used while constructing a tangent to the circle by using center of a circle?


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 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 a circle with a diameter AB of length 6 cm. Draw a tangent to the circle from the end points of the diameter.


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 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 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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×