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प्रश्न
Draw any circle. Take any point A on it and construct tangent at A without using the centre of the circle.
उत्तर
Steps of Construction:
Step 1: Draw a circle with any radius and mark any point A on it.
Step 2: Draw chord AB and an inscribed ∠BCA.
Step 3: With the centre C and any convenient radius draw an arc intersecting the sides of ∠ACB in points M and N.
Step 4: Using the same radius and centre A, draw an arc intersecting the chord AB at point O.
Step 5: Taking the radius equal to d(MN) and centre O, draw an arc intersecting the arc drawn in step 4. Suppose D be the point of intersection of these arcs. Draw line AD.
Here, line AD is the required tangent to the circle.
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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.
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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.
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- Draw a circle with radius 3.3 cm and center O. Draw chord PQ of length 6.6 cm. Draw ray OP and ray OQ.
- Draw a line perpendicular to the ray OP from P.
- Draw a line perpendicular to the ray OQ from Q.
Do the following activity to draw tangents to the circle without using the center of the circle.
- Draw a circle with radius 3.5 cm and take any point C on it.
- Draw chord CB and an inscribed angle CAB.
- With the center A and any convenient radius, draw an arc intersecting the sides of angle BAC in points M and N.
- Using the same radius, draw an arc intersecting the chord CB at point R.
- 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
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 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
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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
