Related questions grouped automatically for chapter-wise practice. Topics include Chords Equidistant from the Centre, Equal Chords and Their Distances from the Centre.
Related questions grouped automatically for chapter-wise practice.
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Circles - Topics Covered
Mathematics Circles ke topic-wise MCQs yahan grouped context me milenge. jo aap ko Exam ki preparation me madad milegi. Ye questions exam-oriented hai and students ko concept clarity, quick revision aur board exam preparation kaafi madad karenge. Sabhi se jude MCQs important topics ke anusar arranged hai, taaki aap Circles ko easy tarike se practice aur revise kar sake.
Chords Equidistant from the Centre
1 MCQs
Equal Chords and Their Distances from the Centre
1 MCQs
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A. दोनों दूरियाँ बराबर होती हैं/Both distances are equal
Explanation
Simple Explanation
वृत्त का एक महत्वपूर्ण प्रमेय कहता है कि बराबर लंबाई वाली जीवाएँ केंद्र से समान दूरी पर होती हैं। केंद्र से प्रत्येक जीवा पर खींचा गया लंब उस जीवा को दो बराबर भागों में बाँटता है। दोनों जीवाओं की लंबाई और वृत्त की त्रिज्या समान होने के कारण बने समकोण त्रिभुज सर्वांगसम होते हैं। इसलिए केंद्र से दोनों जीवाओं की लंबवत दूरियाँ बराबर होती हैं। परीक्षा सुझाव: बराबर जीवाएँ और केंद्र से समान दूरी वाला संबंध दोनों दिशाओं में सत्य होता है। / An important circle theorem states that equal chords are equidistant from the centre. A perpendicular drawn from the centre to a chord bisects that chord. Since the two chords are equal and the radii are the same, the resulting right-angled triangles are congruent. Therefore, the perpendicular distances of both chords from the centre are equal. Exam tip: The relationship between equal chords and equal distances from the centre works in both directions.
वृत्त के प्रमेय के अनुसार, केंद्र से समान दूरी पर स्थित जीवाएँ लंबाई में बराबर होती हैं। इसलिए दोनों जीवाएँ बराबर हैं। / According to the circle theorem, chords that are equidistant from the centre of a circle are equal in length. Therefore, both chords are equal.
Related questions grouped automatically for chapter-wise practice. Topics include Chords Equidistant from the Centre, Equal Chords and Their Distances from the Centre.
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