stp - 5 (function) solution

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IIT - ian’s P ACE ; ANDH ERI / DADAR / CHEMBUR / THANE ; Te l : 26245223 / 09 ; .www.ii tianspace.com 216 - 217 ,2nd floor, Sh opper’s point , S. V . Road. Andheri (West) Mum bai-400058 . Tel: 26245 223 / 09 BATCH : 2017 STP - 5 FUNCTION) SOLUTION 1. ( ab) 2 f x x x 1 3 x 1 So, x 1 , 1.1 ,1.2 , ...... f x 0 f x is many one only intefral values will be attained f x is into 2. ( ad) x x 0 x 0 f x e e x 0 range , 0 many one into 3. (c) 0 0 f c 2 0 f 4. (a) Since 0 2 2 f c and f 2= 0 4a+ 2b+c = 0 4a+ 2b+ 2 = 0 b 1 2a+ b +1 = 0 2+ + = 0 a a 1 a is a root of 2 ax +bx+c=0 5. (d) b 0 2a or b 2 2a 2a 1 0 2a or 2a 1 2 2a 1 a 0 2 or 1 0 a 2 a 1 is not possible

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