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If a b c d are in gp then a2+b2+c2 b2+c2+d2

Web12 jun. 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and … WebIf a,b,c,d are in G.P ., then (ab+bc+cd)2(a2+b2+c2)(b2+c2+d2) = 1736 31 Sequences and Series Report Error A 1 B 2 C 3 D 5 Solution: b = ar,c = ar2,d = ar3 ∴ a2 +b2 +c2 = …

If a , b , c , d are in G.p., prove that :i a 2+ b 2, b 2+ c 2, c 2+ d ...

WebA a = b = c B 2b = 3a+c C b2 = 8ac D none of these Solution: Since a,b,c are in A.P. ∴ b −a = c −b ...(1) Since a2,b2,c2 are in H.P. ∴ b21 − a21 = c21 − b21 ⇒ a2b2a2−b2 = b2c2b2−c2 ⇒ a2(a−b)(a+b) = c2(b−c)(b+c) ⇒ a2a+b = c2b+c [Using (1)] ⇒ ac2 +bc2 −a2b− a2c = 0 ⇒ ac2 −a2c +bc2 − ba2 = 0 ⇒ ac(c −a)+ b(c2 −a2) = 0 ⇒ (c −a)(ac +b(c … Web(i) a, b, c, d are in G.P. ∴ a = a, b = ar, c = a r 2, d = a r 3. Now, (b 2 + c 2) 2 = (a 2 + b 2) (c 2 + d 2) (a 2 r 2 + a 2 r 4) 2 = (a 2 + a 2 r 2) (a 2 r 4 + a 2 r 6) a 4 (r 2 + r 4) 2 = a 2 (1 + r … remedial biology mcq https://tycorp.net

if a,b,c are in G.P. prove that a^2 + b^2,ab + bc,b^2 + c^2 are …

Web9 okt. 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get … Web30 mrt. 2024 · So, a = a b = ar c = ar2 d = ar3 We want to show that (an + bn), (bn + cn), (cn + dn) are in GP i.e. to show common ratio are same (𝑏^𝑛+𝑐^𝑛)/ (𝑎^𝑛+𝑏^𝑛 ) = (𝑐^𝑛+𝑑^𝑛)/ (𝑏^𝑛+𝑐^𝑛 ) Need to show (𝑏^𝑛+𝑐^𝑛)/ (𝑎^𝑛+𝑏^𝑛 ) = (𝑐^𝑛+𝑑^𝑛)/ (𝑏^𝑛+𝑐^𝑛 ) Taking L.H.S (𝑏^𝑛+𝑐^𝑛)/ (𝑎^𝑛+𝑏^𝑛 ) Putting b = ar , c = ar2 = (〖 (𝑎𝑟)〗^𝑛+〖 (〖𝑎𝑟〗^2)〗^𝑛)/ (𝑎^𝑛+〖 (𝑎𝑟)〗^𝑛 ) = (𝑎^𝑛 … WebLet r be the common ratio of the given G.P. Then `b/a = c/b = d/c` = r. ⇒ b = ar, c = br = ar 2, d = cr = ar 3. Now, a 2 – b 2 = a 2 – a 2 r 2 = a 2 (1 – r 2 ... professional\u0027s panama

If a, b, c and d are in G.P. show that (a^2 + b^2 + c^2) (b^2 + c^2 …

Category:If A, B, C, D Are in G.P., Prove That: (A2 + B2), (B2 + C2), (C2 + D2 ...

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If a b c d are in gp then a2+b2+c2 b2+c2+d2

If a b c d are in gp prove that a2+b2 b2+c2 c2+d2 are also in gp

WebIf a,b,c are in G.P., prove that the following are also in G.P.: a 2,b 2,c 2 Easy Solution Verified by Toppr Given a,b,c are in GP b 2=ac ........... as b is G.M. of a and c Squaring on both sides b 4=a 2c 2 (b 2) 2=(a 2)(c 2) ∴b 2isG.M.ofa 2andc 2 a 2,b 2,c 2 are in GP Was this answer helpful? 0 0 Similar questions Web30 mrt. 2024 · So, a = a b = ar c = ar2 d = ar3 We need to show that (a2 + b2 + c2) (b2 + c2 + d2) = (ab + bc + cd)2 Taking L.H.S (a2 + b2 + c2) (b2 + c2 + d2) Putting values of b = ar , c = ar2 , d = ar3 (a2 + (ar)2 + (ar2)2) ( (ar)2 + (ar2)2 + (ar3)2) = (a2 + a2r2 + a2r4) (a2r2 …

If a b c d are in gp then a2+b2+c2 b2+c2+d2

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WebIf a, b, c and d are in G.P. show that (a 2+b 2+c 2)(b 2+c 2+d 2)=(ab+bc+cd) 2 Hard Solution Verified by Toppr Taking LHS (a 2+b 2+c 2)(b 2+c 2+d 2) putting values … Web16 jan. 2024 · Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and …

WebDpp (25-30) 11th J-Batch Maths - Free download as PDF File (.pdf), Text File (.txt) or read online for free. CLASS : XI (J-Batch) TIME : 60 Min. DPP. NO.-25 Select the correct alternative : (Only one is correct) Q.189/QE Number of ordered pair(s) (a, b) for each of which the equality, a (cos x 1) + b2 = cos (ax + b2) 1 holds true for all x R are : (A) 1 (B*) … WebSolution Verified by Toppr Correct option is A) If a,b,c,d are in G.P, then the value of Let y=(a−c) 2+(b−c) 2+(b−d) 2−(a−d) 2 y=a 2−2ac+c 2+b 2−2bc+c 2+b 2−2bd+d 2−(a 2−2ad+d 2) y=2(b 2−ac)+2(c 2−bd)+2(ad−bc) As a,b,c,d are in GP then b 2−ac=0,c 2−bd=0 and ad=bc So y=0 Was this answer helpful? 0 0 Similar questions

WebThis is the Solution of Question From RD SHARMA book of CLASS 11 CHAPTER SEQUENCES AND SERIES This Question is also available in R S AGGARWAL book of … WebGeometric calibration is an important means of improving the absolute positioning accuracy of space-borne synthetic aperture radar imagery. The conventional calibration method is based on a calibration field, which is simple and convenient, but requires a great deal of manpower and material resources to obtain ground control points. Although newer cross …

WebLogin/Sign Up. If a, b, c, d are in GP, prove that (a2 – b2), (b2 – c2), (c2 – d2) are in GP. If a, b, c, d are in GP, prove that (a2 – b2), (b2 – c2), (c2 ...

WebIf a, b, c, d are in G.P., prove that: (a 2 + b 2 ), (b 2 + c 2 ), (c 2 + d 2) are in G.P. Advertisement Remove all ads Solution a, b, c and d are in G.P. ∴ b 2 = a c a d = b c c … professional\u0027s choice® smx ventechtm girthprofessional ugadi wishesWeb14 jul. 2024 · As a,b,c are in GP Note: 1. In general, the GP series is like a,ar,ar2…. 2. In this, b = ar and c = br = ar2 So we proceed forward with the aim to equalize LHS and RHS of the equation to be proved using the above ideas. ∴ RHS = 1/r Clearly we observed that, LHS = RHS = (1/r) …Proved ← Prev Question Next Question → Free JEE Main Mock Test remedial biology notes for b. pharmacy pdfWebIf a, b, c, d are in G.P., prove that: (a 2 − b 2 ), (b 2 − c 2 ), (c 2 − d 2) are in G.P. Advertisement Remove all ads Solution a, b, c and d are in G.P. ∴ b 2 = a c a d = b c c 2 = b d ....... (1) ( b 2 − c 2) 2 = ( b 2) 2 − 2 b 2 c 2 + ( c 2) 2 Using ⇒ ( b 2 − c 2) 2 = ( a c) 2 − b 2 c 2 − b 2 c 2 + ( b d) 2 [ Using ( 1)] remedial board usmcWeb21 aug. 2024 · ex 9.3 class 11 q25(a2+b2+c2)(b2+c2+d2)=(ab+bc+cd)2if a b c d are in gp then (a2+b2+c2)(b2+c2+d2)#Class11Maths #SequenceAndSeries #VidyaInstitute … professional underground servicesWebif a,b,c are in G.P. prove that a2+b2,ab+bc,b2+c2are also in G.P. Easy Open in App Solution Verified by Toppr Given, a,b,care in G.P. ris the common ratio b=ar,c=ar2 if, … remedial body therapiesWebif a,b,c are in G.P. prove that a2+b2,ab+bc,b2+c2are also in G.P. Easy Open in App Solution Verified by Toppr Given, a,b,care in G.P. ris the common ratio b=ar,c=ar2 if, a2+b2ab+bc =ab+bcb2+c2 ⇒a2+(ar)2a(ar)+(ar)(ar2) =a(ar)+(ar)(ar2)(ar)2+(ar2)2 a2(1+r2)a2r(1+r2) =a2r(1+r2)a2r2(1+r2) ⇒a2+b2,ab+bc,b2+c2are in GP. Was this … remedial bledow