See image β AITS & Test Series Chemistry Question
Question
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π‘ Solution & Explanation
f(f(2)) β f(f(1)) = 0 ο (3a + b)(5a2 + 3ab + 2ac + b) = 0 TG ~ @bohring_bot TG ~ @bohring_bot | @HeyitsyashXD AITS-PT-I (Paper-1)-PCM(Sol.)-JEE(Advanced)/2025 FIITJEE Ltd., FIITJEE House, 29-A, Kalu Sarai, Sarvapriya Vihar, New Delhi -110016, Ph 46106000, 26569493, Fax 26513942 website: www.fiitjee.com 17 ο 3a + b = 0 ... (i) or 5a2 + 3ab + 2ac + b = 0 β¦ (ii) f(f(3)) β f(f(1)) = 0 ο 2(4a + b)(10a2 + 4ab + 2ac + b) = 0 ο 4a + b = 0 ... (iii) or 10a2 + 4ab + 2ac + b = 0 β¦ (iv) Case I : When b = β 3a put it in IV we get c = 3 a 2 ο« (not possible) Case II : When b = β 4a put it in II we get c = 7a 2 2 ο« ο a = 2ο¬, c = 7ο¬ + 2 & b = β 8ο¬ Case III : When 5a2 + 3ab + 2ac + b = 0 & 10a2 + 4ab + 2ac + b = 0 ο 5a2 + ab = 0 ο b = β 5a (not possible) So a = 2ο¬, c = 7ο¬ + 2 & b = β 8ο¬ Now 20 8 20 ο ο£οο¬ο£ (ο¬ οΉ 0) ο