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Choose the correct alternative: Which theorem is used while constructing a tangent to the circle by using center of a circle? - Geometry Mathematics 2

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प्रश्न

Choose the correct alternative:

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

विकल्प

  • Tangent – radius theorem

  • Converse of tangent – radius theorem

  • Pythagoras theorem

  • Converse of Pythagoras theorem

MCQ

उत्तर

Tangent – radius theorem

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अध्याय 4: Geometric Constructions - Q.1 (A)

संबंधित प्रश्न

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


Select the correct alternative for the following question.

The maximum number of tangents that can be drawn to a circle from a point out side it 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.


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


Choose the correct alternative:

The tangents drawn at the end of a diameter of a circle are ______


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 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


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 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 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 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)


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 radius 4 cm. Draw a point 8 cm away from its centre and construct a pair of tangents.


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