Important Maths Formulas
If a^2b^2c^2abbcca=0 then prove that a=b=c a² b² c² = ab bc ca On multiplying both sides by '2', it becomes 2 ( a² b² c² ) = 2 ( ab bc ca) 2a² 2b² 2c² = 2ab 2bc 2ca a² a² b² b² c² c² – 2ab – 2bc – 2ca = 0 a² b² – 2ab b² c² – 2bc c² a² – 2ca = 0 Multiply both sides with 2, we get 2 ( a2 b2 c2 – ab – bc – ca) = 0 ⇒ 2a2 2b2 2c2 – 2ab – 2bc – 2ca = 0 ⇒ (a2 – 2ab b2) (b2 – 2bc c2) (c2 – 2ca a2) = 0 ⇒ (a –b)2 (b – c)2 (c – a)2 = 0 Since the sum of square is zero then each term should be zero ⇒ (a –b)2 = 0, (b – c)2 = 0, (c – a)2 = 0
B2 c2 2(ab bc ca)
B2 c2 2(ab bc ca)-Verified by Toppr Consider, a 2b 2c 2–ab–bc–ca=0 Multiply both sides with 2, we get 2(a 2b 2c 2–ab–bc–ca)=0 ⇒ 2a 22b 22c 2–2ab–2bc–2ca=0 ⇒ (a 2–2abb 2)(b 2–2bcc 2)(c 2–2caa 2)=0 ⇒ (a–b) 2(b–c) 2(c–a) 2=0 Since the sum of square is zero then each term should be zero ⇒ (a–b) 2=0,(b–c) 2=0,(c–a) 2=0If a b c = 13, a 2 b 2 c 2 = 69 then find the ab bc ca A) 10 B) 30 C) 50 D) 70 Answer C) 50 Explanation a b c 2 = a 2 b 2 c 2 2 a b b c c a 2 a b b c c a = a b c
How To Expand Using The Identity A B C 2 B2 C2 2ab 2bc 2ca Youtube
Skkn bất đẳng thức a2 b2 c2 = ab bc ca và các bài toán áp dụng Bạn đang xem bản rút gọn của tài liệu Xem và tải ngay bản đầy đủ của tài liệu tại đây ( KB, 31 trang ) 1 Tên sáng kiến "Bất đẳng thức a 2 b 2 c 2 ≥ ab bc ca và các 2 Lĩnh vực ápSimplification Questions & Answers for Bank Exams If (a b c) = 6 and a2b2c2= 14, then (ab bc ca) = ? Using properties of determinants, prove the following;
NCERT Class 9 Maths Lab Manual – Verify the Algebraic Identity (abc)² = a²b²c²2ab2bc2ca OBJECTIVE To verify the algebraic identity (abc)² = a²b²c²2ab2bc2ca Materials Required Hardboard Coloured papers Adhesive White paper Scissors Geometry Box Prerequisite Knowledge Square and its area Rectangle and its area2( a 2 b 2 c 2 – ab – bc – ca) = 0 2a 2 2b 2 2c 2 – 2ab – 2bc – 2ca = 0 (a 2 – 2ab b 2) (b 2 – 2bc c 2) (c 2 – 2ca a 2) = 0 (a –b) 2 (b – c) 2 (c – a) 2 = 0 Since the sum of square is zero then each term should be zero (a –b) 2 = 0, (b – c) 2 = 0, (c – a) 2 = 0 This discussion on If a2b2c2=30 and abc=10,then find the value of abbcca is done on EduRev Study Group by Class 9 Students The Questions and Answers of If a2b2c2=30 and abc=10,then find the value of abbcca are solved by group of students and teacher of Class 9, which is also the largest student community of Class 9
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This discussion on If a b c = 45 and ab bc ca = 254 Find the value of a2 b2 c2= ?a)1517b)1516c)1515d)1518Correct answer is option 'A' Can you explain this answer? answered by aditya23 Expert (736k points) (a b c)2 = a2 b2 c2 2ab 2bc 2ca ⇒ (a b c)2 = 2 (ab bc ca) ⇒ (a b c)2 = 2 × 71 ⇒ (a b c)2 = 142 ⇒ (a b c)2 = 225
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