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XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.
- a)17 cm
- b)14 cm
- c)25 cm
- d)21 cm
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
XY and PQ are two parallel chords of a circle on opposite side of the ...
Given, PQ = 10 cm, XY = 24 cm and radius of circle = 13 cm
We need to find the distance between PQ and XY.
Let AB be the diameter of the circle passing through O.
Then, OB = OA = AB/2 = 13 cm
Let M be the midpoint of PQ and N be the midpoint of XY.
Then, OM is perpendicular to PQ and ON is perpendicular to XY.
Also, OM = ON = OB = 13 cm (radii of the same circle).
Now, consider the right-angled triangles OMP and ONX.
We have, OP = OX = PQ/2 = 5 cm and OY = OQ = XY/2 = 12 cm.
Using Pythagoras theorem, we can find
MP and NX as: MP = sqrt(OP^2 - OM^2) = sqrt(5^2 - 13^2) = sqrt(144) = 12 cm NX = sqrt(OX^2 - ON^2) = sqrt(12^2 - 13^2) = sqrt(23) cm
Therefore, the distance between PQ and XY is MN = MP + NX = 12 + sqrt(23) cm Hence, option (A) 17 cm is the correct answer.
Most Upvoted Answer
XY and PQ are two parallel chords of a circle on opposite side of the ...
Given, PQ = 10 cm, XY = 24 cm and radius of circle = 13 cm
We need to find the distance between PQ and XY.
Let AB be the diameter of the circle passing through O.
Then, OB = OA = AB/2 = 13 cm
Let M be the midpoint of PQ and N be the midpoint of XY.
Then, OM is perpendicular to PQ and ON is perpendicular to XY.
Also, OM = ON = OB = 13 cm (radii of the same circle).
Now, consider the right-angled triangles OMP and ONX.
We have, OP = OX = PQ/2 = 5 cm and OY = OQ = XY/2 = 12 cm.
Using Pythagoras theorem, we can find MP and NX as:
MP = sqrt(OP^2 - OM^2) = sqrt(5^2 - 13^2) = sqrt(144) = 12 cm
NX = sqrt(OX^2 - ON^2) = sqrt(12^2 - 13^2) = sqrt(23) cm
Therefore, the distance between PQ and XY is MN = MP + NX = 12 + sqrt(23) cm
Hence, option (A) 17 cm is the correct answer.
We need to find the distance between PQ and XY.
Let AB be the diameter of the circle passing through O.
Then, OB = OA = AB/2 = 13 cm
Let M be the midpoint of PQ and N be the midpoint of XY.
Then, OM is perpendicular to PQ and ON is perpendicular to XY.
Also, OM = ON = OB = 13 cm (radii of the same circle).
Now, consider the right-angled triangles OMP and ONX.
We have, OP = OX = PQ/2 = 5 cm and OY = OQ = XY/2 = 12 cm.
Using Pythagoras theorem, we can find MP and NX as:
MP = sqrt(OP^2 - OM^2) = sqrt(5^2 - 13^2) = sqrt(144) = 12 cm
NX = sqrt(OX^2 - ON^2) = sqrt(12^2 - 13^2) = sqrt(23) cm
Therefore, the distance between PQ and XY is MN = MP + NX = 12 + sqrt(23) cm
Hence, option (A) 17 cm is the correct answer.
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XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.a)17 cmb)14 cmc)25 cmd)21 cmCorrect answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.a)17 cmb)14 cmc)25 cmd)21 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.a)17 cmb)14 cmc)25 cmd)21 cmCorrect answer is option 'A'. Can you explain this answer?.
XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.a)17 cmb)14 cmc)25 cmd)21 cmCorrect answer is option 'A'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.a)17 cmb)14 cmc)25 cmd)21 cmCorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.a)17 cmb)14 cmc)25 cmd)21 cmCorrect answer is option 'A'. Can you explain this answer?.
Solutions for XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.a)17 cmb)14 cmc)25 cmd)21 cmCorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Class 9.
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XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.a)17 cmb)14 cmc)25 cmd)21 cmCorrect answer is option 'A'. Can you explain this answer?, a detailed solution for XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.a)17 cmb)14 cmc)25 cmd)21 cmCorrect answer is option 'A'. Can you explain this answer? has been provided alongside types of XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.a)17 cmb)14 cmc)25 cmd)21 cmCorrect answer is option 'A'. Can you explain this answer? theory, EduRev gives you an
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