SECTION A Attempt All the Question (4×10=40) 1 a) If x=1–2, Find the value of (x–1x)3 b) A borrowed Rs 2500 from B at 12% per annum compound interest. After 2 Years A gave Rs 2936 and a watch to B to clear the Account. Find the cost of Watch C) Find the amount and the compoud interest on Rs 12000 in 3 years at 5% interest being compounded yearly. 2 a) If a2–5a–1=0 and a≠0 find (i) a–1a (ii) a+1a (iii) a2–1a2 b) Factorise : a2 + 10a+24 c) If AP bisects angle BAC and M is any point on AP .Prove that perpendicular drawn from M to AB and AC are equal 3 a) Find the actual lower and upper class limits and also the class marks of the classes 1.1–2.0 ; 2.1–3.0 ; 3.1–4.0 b) Find the mean of all factors of 10 c) Simplify 26–2–36+2 4 a) The difference between the simple interest and compound interest on a certain sum is Rs 54.40 for 2 years at 8% per annum.Find the sum b) Calculate the amount and the compound interest on Rs 8000 in 2.5 years at 15% per annum c) If ( a+1a)2=3 and a≠0, then show that a3+1a3=0 SECTION B Do any Four Question (4×10=40) 5 a) Factorise : 50a3–2a b) The Perpendicular bisector of the sides of a △ABC meet at I.Prove that IA=IB=IC c) Construct a frequency polygon for the following distributions Class – Internals 0 – 4 4 – 8 8 – 12 12 – 16 16 – 20 20 –
