{"id":25699,"date":"2021-06-23T17:41:57","date_gmt":"2021-06-23T12:11:57","guid":{"rendered":"https:\/\/ncertsolutions.guru\/?p=25699"},"modified":"2021-06-23T17:42:42","modified_gmt":"2021-06-23T12:12:42","slug":"ncert-solutions-for-class-9-maths-chapter-10-ex-10-2","status":"publish","type":"post","link":"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-ex-10-2\/","title":{"rendered":"NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.2"},"content":{"rendered":"

These NCERT Solutions for Class 9 Maths<\/a> Chapter 10 Circles Ex 10.2 Questions and Answers are prepared by our highly skilled subject experts.<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.2<\/h2>\n

Question 1.
\nRecall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles subtend equal angles at their centres.
\nSolution:
\nGiven: C1<\/sub> and C2<\/sub> are two congruent circles whose centres are O and P respectively.
\nChord AB of circle C1<\/sub> is equal to the die chord QR of circle C2<\/sub>.
\n\"NCERT
\nTo prove that \u2220O = \u2220P
\nProof: In \u2206OAB and \u2206PQR.
\nOA = PQ (Radii of the congruent circle)
\nOB = PR (Radii of congruent circle)
\nAB = QR (Given)
\nBy S-S-S- congruency condition,
\n\u2206OAB \u2245 \u2206PQR
\n\u2234 \u2220O = \u2220P (By CPCT)<\/p>\n

\"NCERT<\/p>\n

Question 2.
\nProve that if chords of congruent circles subtend equal angles at their centres, then the chords are equal.
\nSolution:
\nGiven: C1<\/sub> and C2<\/sub> are two congruent circles whose centres are O and O’ respectively and \u2220AOB = \u2220PO’Q.
\nTo prove that: AB = PQ
\n\"NCERT
\nProof: In \u2206OAB and \u2206O’PQ
\nOA = O’P (Radii of congruent circles)
\nOB = O’Q (Radii of congruent circles)
\nand \u2220AOB = \u2220PO’Q (Given)
\nBy S-A-S congruency condition.
\n\u2220OAB = \u2220O’PQ
\n\u2234 AB = PQ (By CPCT)<\/p>\n","protected":false},"excerpt":{"rendered":"

These NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.2 Questions and Answers are prepared by our highly skilled subject experts. NCERT Solutions for Class 9 Maths Chapter 10 Circles Exercise 10.2 Question 1. Recall that two circles are congruent if they have the same radii. Prove that equal chords of congruent circles …<\/p>\n

NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.2<\/span> Read More »<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"yoast_head":"\nNCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.2 - NCERT Solutions<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ncertsolutions.guru\/ncert-solutions-for-class-9-maths-chapter-10-ex-10-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.2 - NCERT Solutions\" \/>\n<meta property=\"og:description\" content=\"These NCERT Solutions for Class 9 Maths Chapter 10 Circles Ex 10.2 Questions and Answers are prepared by our highly skilled subject experts. 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