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If a b c d are in gp then

Web23 okt. 2024 · Correct Answer - C a, b, c, d a, b, c, d are in GP a = a, b = ar, c = ar2, d = ar3 a = a, b = a r, c = a r 2, d = a r 3 b + c = ar + ar2 = ar(1 + r) b + c = a r + a r 2 = a r ( 1 + r) (b + c)2 + a2r2(1 + r2 + 2r) ( b + c) 2 + a 2 r 2 ( 1 + r 2 + 2 r) = a2r2 + a2r4 + 2a2r3 = a 2 r 2 + a 2 r 4 + 2 a 2 r 3 = a ⋅ ar2 + ar ⋅ ar3 + a2r3 + a2r3 = a ⋅ WebSolution: Since, a,b,c and d are in GP. ∴ b2 = ac,c2 = bd and ab = cd ⇒ bc = ad...(i) Now, (a +b +c +d)2 = (a +b)2 + (c +d)2 +2(a +b)(c+ d) = (a +b)2 +(c +d)2 +2(ac+ ad+ bc +bd) …

a,b,c,d are in GP are in ascending order such a+d=112 and b+c…

Web8 aug. 2024 · If a, b, c, d, e are in G.P., then e/c equals : (a) d/b (b) c/b (c) b/a (d) d/c bitsat Share It On 1 Answer +1 vote answered Aug 8, 2024 by Aarju (69.8k points) selected Aug 8, 2024 by faiz Best answer Correct option (a) d/b Explanation: Let a, b, c, d, e be in G.P., with common ratio r. ← Prev Question Next Question → Find MCQs & Mock Test Web8 mrt. 2024 · If a b c d are in GP then prove that bc = ad See answers Advertisement Ushan12345 b^2=ac c^2=bd then, b^2 × c^2 = abcd bc×bc= ad×bc bc=ad where is the … cheapest north carolina car insurance https://corpoeagua.com

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Web30 mrt. 2024 · We have (a+bx)/ (a−bx) = (b+cx)/ (b−cx) = (c+dx)/ (c − dx) & we want to show that a, b, c, d are in G.P. Taking (a+bx)/ (a−bx) = (b+cx)/ (b−cx) = (c+dx)/ (c − dx) Applying componendo dividendo (a + bx + a − bx)/ ( (a + bx) − (a−bx)) = (b + cx + (b − cx))/ (b + cx − (b − cx)) = (c + dx + (c − dx))/ (c + dx − (c − dx)) (a + a + bx − bx)/ (𝑏𝑥+ bx − … WebIf a, b, c, d are in G.P., then ( (a2 +b2 + c2) (b2+c2+d2)/ (ab+bc +cd)2)= Q. If 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 = a2(1+r2 +r4) b2 +c2 +d2 = a2r2 (1+r2 + r4) ab+bc+ cd = a2r(1+ r2 + r4) WebClick here👆to get an answer to your question ️ If a,b,c are in AP and a,b,d are in GP then a,(a - b),(d - c) are in Solve Study Textbooks Guides Join / Login cvs crowley rd crowley tx

If a, b, c are in G.P ., then ab2+c2 is - Byju

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If a b c d are in gp then

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WebClick here👆to get an answer to your question ️ If a, b, c are in GP, a - b, c - a, b - c are in HP, then the value of a + 4b + c is WebCorrect 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 …

If a b c d are in gp then

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WebCorrect option is C) Given : a, c, b are in GP. Let the common ratio be r. Then c=ar and b=ar 2. Given line is ax+by+c=0 ∴ax+by=−c Divide by -c throughout −cax+ −cby=1 ( … WebSolution: Since a, b, c, are in A.P, ∴ b = 2a+c …(1) Since b, c, d are in G.P, ∴ c2 = bd ... (2) Since c, d, e, are in H.P, ∴ d = c+e2ce ... (3) Putting the values of b, d in (2) from (1), (3), we get c2 = 2a+c ⋅ c+e2ce = c+e(a+c)ce ⇒ (c +e)c2 = (a+ c)ce ⇒ (c +e)c = (a+ c)e ⇒ c2 + ce = ae +ce ⇒ c2 = ae ⇒ a,b,e are in G.P.

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WebIf a,b,c,d………are in G.P., then show that `(a-b)^2, (b-c)^2, (c-d)^2` are in G.P. Web30 okt. 2015 · If a, b,c,d are in G.P. then the value of (ab+bc+cd)2 - (a2+b2+c2) (b2+c2+d2) is a) 0 b) 1 c) -1 d) None Asked by ahuja8087 30 Oct, 2015, 11:55: PM Expert Answer Answered by Vimala Ramamurthy 31 Oct, 2015, 05:12: PM Concept Videos Concept of Geometric Progression. General term and common ratio of GP. Sum... Concept of …

WebSolution Given a, b, c are in GP So b 2 = a c.. ( i) a ( b 2 + c 2) = a ( a c + c 2) = a ( a c) + a c 2 = a 2 c + a c = c ( a 2 + b 2) a ( b 2 + c 2) = c ( a 2 + b 2) Hence, the value of a ( b 2 + c 2) i s c ( a 2 + b 2) Suggest Corrections 2 Similar questions Q. If a, b, c are in G.P., prove that: (i) a (b 2 + c 2) = c (a 2 + b 2)

Web27 jul. 2024 · A,b,c,d are in GP are in ascending order such a+d=112 and b+c=48 that If the GP is continued with a as the fir… Get the answers you need, now! sharmapragati1406 sharmapragati1406 27.07.2024 Math ... then the sum of the first six term is : … cheapest no oil turkey fryerWebCorrect option is C) Since a,b,c are in A.P. ∴b= 2a+c ... (1) ∵b,c,d are in G.P. ∴c 2=bd ... (2) Also, ∵c,d,e are in H.P. ∴d= c+e2ce ... (3) Substituting the values of b and d from (1) … cheapest nordictrack treadmillWebIf a,b,c,d are in G.P then Prove that (b−c) 2+(c−a) 2+(d−b) 2=(a−d) 2 Medium Solution Verified by Toppr since a,b,c and d are in G.P. Let's take: a b=ar c=ar 2 d=ar 3 LHS: … cheapest norton 360WebThis 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 CLASS 1... cheapest north face clothingWeb18 jan. 2024 · If a, b, c are in GP and loga − log2b, log2b − log3c and log3c − loga are AP, then a, b, c are the lengths of the sides of a triangle which is (A) acute angled (B) obtuse angled (C) right angled (D) no triangle will be formed binomial theorem jee jee mains 1 Answer +1 vote answered Jan 18, 2024 by KumariJuly (53.9k points) cvs crown cementWebIf a, b, c are in G.P. and a x = b y = c z, then prove that 1 x + 1 z = 2 y. View More. Related Videos. MATHEMATICS. Watch in App. Explore more. Geometric Progression. Standard XI Mathematics. Solve. Textbooks. Question Papers. cheapest nook ereaderWebIf a, b, c are in G.P. then a2−b21 + b21 is: 3228 72 Sequences and Series Report Error A c2−b21 B b2−c21 C c2−a21 D b2−a21 Solution: As given : a, b, c are in G.P. ⇒ b2 = ac The given expression : a2−b21 + b21 = a2−ac1 + ac1 [using b2 = ac] = a(a−c)1 + ac1 = ac(a−c)c+a−c = ac(a−c)a = ac−c21 = b2−c21 [using ac = b2 ] cvs crown lake blvd