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

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 - Geometry Mathematics 2

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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.

उत्तर

Steps of construction:
1. Draw a circle of radius 3.5 cm. Take any point K on it.
2. Draw a chord KL through K. Take any point M on the major arc KL.
3. Join KM and ML.
4. Draw an arc of the same radius taking M and K as the centres. Taking H as the centre and radius equal to IJ, draw an arc intersecting the previous arc at G.
∴ ∠KML = ∠LKR
5. Join KG and extend it on both the sides to draw PR which is the required tangent to the circle at K.

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2015-2016 (March) Set A

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.


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 2.7 cm. Draw a tangent to the circle at any point on it.


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 ............... .


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


Choose the correct alternative:

______ number of tangents can be drawn to a circle from the point outside the circle


Draw a circle and take any point P on the circle. Draw ray OP
Draw perpendicular to ray OP from point P

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


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 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


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


Draw a circle of suitable radius. Take point T on it. Draw a tangent through point T.


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