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STD.IX MATHEMATICS. DON BOSCO ACADEMY, PATNA FIRST TERM EXAMINATION 2020-21 DATE:15.09.2020 F.M. 50 TIME:1 HR 30 MIN Attempt all questions. All working including rough work must be clearly shown and must be done on the same sheet as the rest of the answer. Omission of essential working will result in loss of marks. Students must write their NAME, ROLL NO and PAGE NO on every answer sheet. Attempt all questions. Question-1. Expand the following : i) (3x 2y )2 (ii) (2a + 1 )3 [4] Question-2. From the adjoining figure, find the value of :i) Sin A (ii) Cos L DBC [4] Question-3. In the adjoining diagram , L ABC = 50o Question-4.(i) ii) , Find the value of LBAD. Rationalize the denominator of 2/ Evaluate : 3 x (8) 3 X (5)o 16 25 [4] 9____ 5 + 2 - [4] Question-5. At what rate percent per annum will Rs.6000 amount to Rs.6615 in 2 years when interest is compounded annually? [4] Question-6. In the adjoining diagram, AP and BQ are equal and parallel to each other. Prove that : i) AOP BOQ ii) AB and PQ bisect each other at O . [4] -2-If A = 60o , B = 30o Show that tan ( A B ) = Question-7. tan A tan B 1 + tan A tan B. [4] Question-8. Find the difference between the compound interest and simple interest on Rs.5000 for 1 year at 8% p.a., the interest being compounded semi-annually. [4] Question-9. If a2 + 1 = 18 and a 0. a2 Find the value of ii) a3 - (i) a 1 a [4] 1 a3 Question-10.Construct a triangle ABC, such that AB = 6 cm, LABC = 90o and BC = 8 cm. LABC, i) In the same triangle, draw the bisector of ii) iii) draw the perpendicular bisector of side BC. Mark the point of intersection of part (i) and Part (ii) as M , measure and record the length of line segment CM. Question-11.(a) Find the value of x , if x [4] = 64 27 b) [4] [2] Evaluate the following : 2 Cos 0o Cot 30o Sin 30o Sec 30o + Cos2 45o Question-12.Show, by long division method upto 4 decimal places, that 3 is an irrational number. ********************* [3] [5]
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