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~ PRACTISIN, | MATHEMATICS | <o Mare,, , 1, REAL NUMBERS, , 8 Marks Questions :, , x+y, , , , alityetyn?, iil lel )- 5 log +108, then find the value of xy +x y, , ; leg levee, - 1f9.8)4 =(0.98)* = 1000; then show that a cs = 3 i, , nN, , 3. Prove the following?, , i) log ab =log a + log b, ii) log =loga—logb, iii) loga” =m.loga, , iv) a’®"=m, , the distance in complete steps ? (Find L.C.M.), 5. If 2**! = 3'* then find ‘x’., 4 Marks Questions : :, 1. Write 3930 and 5460 as product of primes., _ Find LCM and: HCF of 22x33x52x7; 34x54x22x11 and 57x23x3x17 ?, . Write 3 simple logarithmic formula?, , fw bv, , . Show that 2log(atb) = 61og2 + loga + logb if a’+b’ = 62ab ?, 1331, . Expand log—— ?, a - 256, , Nn, , . Find N if 3log2 + 41og3 — 5log4 = log N ?, , Solve for x, if 5u=9 9, , og a Gy, , . Find the L.C.M. and H.C.F. of 40, 36 and 126 by prime factorisation method., If x?+y? = 25 xy then prove that 2 log (x+y) = 3 log3+logx+logy, , 10. Find x if 2log5-+ + log9~log3 =logx, 2 Marks Questions :, , ’ 1. Write fundamental theorem of Arthmetic?, 2. Do prime factorization? ;, i) $292 ii) 13,475, , _ In a morning walk three persons stepoff together, their steps measure 80cm, 85 cm an{, 90 cm respectively. What is the minimum distance each should walk so that he can cove
