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ICSE Class X Prelims 2020 : Mathematics (St. Mary's School ICSE, Mazagaon, Mumbai)

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Sanjeev Prabhakar
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ST. Mary s School DATE : 06/01/2020 TIME : 2 HRS ; MARKS : 80 SECTION A (40 MARKS) Attempt all questions from this section Question 1 : [ 3 + 3 + 4 = 10 ] 1) Mr. Remit has a recurring deposit account in a post office for 3 years at 7.5% p.a. simple interest. If he gets ` 8,325 as interest at the time of maturity. Find : a) The monthly instalment b) The amount of maturity. 2) In the figure, DBC = 580, BD is a diameter of the circle. Calculate : a) BDC 3) If x = b) BEC c) BAC + 1 + 1 + 1 1 , Using properties of proportion show that : x 2 2 a x + 1 = 0 Question 2 : [ 3 + 3 + 4 = 10 ] 1) In the given figure, O is the centre of the circle. The tangents at B and D intersect each other at point P. If AB is parallel to CD and ABC = 550, find BOD and BPD. 2) Let A = [ 4 6 2 0 ] ; B=[ 3 1 2 2 ] and C = [ 1 1 3 ] . Find A 2 A + B C 1 3) Points A and B have coordinates (7, 3) and (1, 9) respectively. Find : a) The slope of AB b) The equation of perpendicular bisector of line segment AB. c) The value of p if ( 2, p) lies on it. TEL : 9819019521 Page | 1

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