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

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 - Geometry Mathematics 2

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प्रश्न

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

आकृती

उत्तर



Steps of construction:

  1. With centre C, draw a circle of radius 3.2 cm
  2. Take point P such that CP = 7.5 cm
  3. Draw the perpendicular bisector of seg CP. It intersects CP in point M.
  4. With M as centre and radius equal to CM, draw an arc intersecting the circle in points Q.
  5. Draw ray PQ.
    Ray PQ is the required tangent to the circle.
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पाठ 4: Geometric Constructions - Q.3 (B)

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.


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.


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.


Draw any circle. Take any point A on it and construct tangent at A without using the centre of the circle.


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:

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


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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.

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 ↓
Draw ray OA and ray OB
 ↓
Construct perpendicular to ray OA from point A
 ↓
Construct perpendicular to Ray OB from point B

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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


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Draw a circle with center P. Draw an arc AB of 100° measure. Perform the following steps to draw tangents to the circle from points A and B.

  1. Draw a circle with any radius and center P.
  2. Take any point A on the circle.
  3. Draw ray PB such ∠APB = 100°.
  4. Draw perpendicular to ray PA from point A.
  5. Draw perpendicular to ray PB from point B.

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 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 a circle with radius 3 cm. Construct a square such that each of its side will touch the circle from outside


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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.


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