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To draw tangents to each of the circle with radii 3 cm and 2 cm from the centre of the other circle, such that the distance between their centres A and B is 6 cm, a perpendicular bisector of AB is drawn intersecting AB at M. The next step is to draw
- a)a circle with AB as diameter
- b)a circle with MB as diameter
- c)a circle with AM as diameter
- d)extend AB to P such that BP = MB and draw a circle with MP as diameter
Correct answer is option 'A'. Can you explain this answer?
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To draw tangents to each of the circle with radii 3 cm and 2 cm from t...
According to the question, the next step is to draw is a circle with AB as diameter.
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To draw tangents to each of the circle with radii 3 cm and 2 cm from t...
To draw tangents to each of the circles with radii 3 cm and 2 cm from the center of the other circle, such that the distance between their centers A and B is 6 cm, we follow these steps:
1. Draw the two circles:
- Circle O1 with radius 3 cm and center O1.
- Circle O2 with radius 2 cm and center O2.
2. Mark the centers and radii:
- Mark the center of circle O1 as A.
- Mark the center of circle O2 as B.
- Draw radii AO1 and BO2.
3. Draw the perpendicular bisector of AB:
- Extend the line segment AB to a point P such that BP = MB.
- Draw a line passing through P and perpendicular to AB.
- Label the intersection of this line with AB as M.
4. Draw a circle with AB as the diameter:
- Using M as the center, draw a circle passing through A and B.
- Label this circle as circle O3.
Explanation:
- We are given that the distance between the centers A and B is 6 cm.
- The perpendicular bisector of AB, which passes through M, divides AB into two equal parts.
- Thus, AM = MB = 3 cm.
- Therefore, the circle with AB as the diameter has a radius of 3 cm.
- This corresponds to option 'A' - a circle with AB as the diameter.
Note:
- Option 'B' is incorrect because drawing a circle with MB as the diameter would not satisfy the given conditions.
- Option 'C' is incorrect because drawing a circle with AM as the diameter would not satisfy the given conditions.
- Option 'D' is incorrect because extending AB to P such that BP = MB and drawing a circle with MP as the diameter would not satisfy the given conditions.
1. Draw the two circles:
- Circle O1 with radius 3 cm and center O1.
- Circle O2 with radius 2 cm and center O2.
2. Mark the centers and radii:
- Mark the center of circle O1 as A.
- Mark the center of circle O2 as B.
- Draw radii AO1 and BO2.
3. Draw the perpendicular bisector of AB:
- Extend the line segment AB to a point P such that BP = MB.
- Draw a line passing through P and perpendicular to AB.
- Label the intersection of this line with AB as M.
4. Draw a circle with AB as the diameter:
- Using M as the center, draw a circle passing through A and B.
- Label this circle as circle O3.
Explanation:
- We are given that the distance between the centers A and B is 6 cm.
- The perpendicular bisector of AB, which passes through M, divides AB into two equal parts.
- Thus, AM = MB = 3 cm.
- Therefore, the circle with AB as the diameter has a radius of 3 cm.
- This corresponds to option 'A' - a circle with AB as the diameter.
Note:
- Option 'B' is incorrect because drawing a circle with MB as the diameter would not satisfy the given conditions.
- Option 'C' is incorrect because drawing a circle with AM as the diameter would not satisfy the given conditions.
- Option 'D' is incorrect because extending AB to P such that BP = MB and drawing a circle with MP as the diameter would not satisfy the given conditions.
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To draw tangents to each of the circle with radii 3 cm and 2 cm from t...
A is correct answer
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To draw tangents to each of the circle with radii 3 cm and 2 cm from the centre of the other circle, such that the distance between their centres A and B is 6 cm, a perpendicular bisector of AB is drawn intersecting AB at M. The next step is to drawa)a circle with AB as diameterb)a circle with MB as diameterc)a circle with AM as diameterd)extend AB to P such that BP = MB and draw a circle with MP as diameterCorrect answer is option 'A'. Can you explain this answer?
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To draw tangents to each of the circle with radii 3 cm and 2 cm from the centre of the other circle, such that the distance between their centres A and B is 6 cm, a perpendicular bisector of AB is drawn intersecting AB at M. The next step is to drawa)a circle with AB as diameterb)a circle with MB as diameterc)a circle with AM as diameterd)extend AB to P such that BP = MB and draw a circle with MP as diameterCorrect answer is option 'A'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about To draw tangents to each of the circle with radii 3 cm and 2 cm from the centre of the other circle, such that the distance between their centres A and B is 6 cm, a perpendicular bisector of AB is drawn intersecting AB at M. The next step is to drawa)a circle with AB as diameterb)a circle with MB as diameterc)a circle with AM as diameterd)extend AB to P such that BP = MB and draw a circle with MP as diameterCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To draw tangents to each of the circle with radii 3 cm and 2 cm from the centre of the other circle, such that the distance between their centres A and B is 6 cm, a perpendicular bisector of AB is drawn intersecting AB at M. The next step is to drawa)a circle with AB as diameterb)a circle with MB as diameterc)a circle with AM as diameterd)extend AB to P such that BP = MB and draw a circle with MP as diameterCorrect answer is option 'A'. Can you explain this answer?.
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Solutions for To draw tangents to each of the circle with radii 3 cm and 2 cm from the centre of the other circle, such that the distance between their centres A and B is 6 cm, a perpendicular bisector of AB is drawn intersecting AB at M. The next step is to drawa)a circle with AB as diameterb)a circle with MB as diameterc)a circle with AM as diameterd)extend AB to P such that BP = MB and draw a circle with MP as diameterCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 10.
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