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Topicwise Test Notes - Class 10- SSC-Maharashtra Board

Published in: Mathematics
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Class10-SSC - Mathematics - New Course - Similarity - Geometry

Onkar K / Mumbai

4 years of teaching experience

Qualification: Not Applicable (Jamnalal Bajaj Institute of Management Studies (JBIMS), Mumbai - 2018), B.Tech/B.E. (Fr. Conceicao Rodrigues College of Engineering (FCRCE), Mumbai - 2015)

Teaches: English, Mathematics, NTSE, Science, B.Tech Tuition, Banking & Finance, Business Mathematics, Bank Clerical, Bank PO, IBPS, SBI Exam, SSC Exams, BBA Entrance, Management Subjects, MBA Entrance, CMAT, IBSAT, MAT, NMAT, TISSNET

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  1. SSC (BATCH -2018-19) [NEW COURSE] Subject: Mathematics-Il PM = 10cm, A(APQS) = 100 sq.cm , Topic : Similarity Marks : 40 l. Choose the correct alternative : Time: 2 Hrs [4] 1 . Base of a triangle is 9 and height is 5. Base of another triangle is 10 and height is 6. The ratio of areas of these triangles is . (4/3 , 25/16, 3/4, 2/3) 2. A ABC and A DEF are equilateral triangles, A . If AB=4, what is length 3. 1B (2/3, 36/1 6, 4/5, 8/9) 6 Q 4. ll. Solve : 10 8 R M In adjoining figure AE L seg BC, seg DF L line BC, A ABC) AE = 4, DF — 6 then find A DBC) The triangles in the figure are similar by which test (SAS, SSS, AAA, AA) 5 4 [6] 1. In the following figure (1), AB Il CD Il EF. Find x and AE . B A 8 12 D c 4 F E (1) 2. In the following figure (2), NR. In A ABC, seg BD bisects Z ABC. 3. If AB = x, BC -x + 5, AD - x— 2, DC = x + 2, then find the value of x. (2) x s 110 sq.cm . Find -2 c
  2. 1 . To prove that: "If a line parallel to a side of a triangle intersects the remaining sides in two distinct points, then the line divides the sides in the same proportion." 2. To prove that : "In a triangle, the angle bisector divides the side opposite to the angle in the Ill. Solve : (Any 2) = QC , 2QB = [8] ratio of the remaining sides." 3. State and prove : Theorem of Areas of Similar Triangles. IV. Solve : 1 . Diagonals of a quadrilateral ABCD intersect in point Q. If 2QA that DC = 2AB. ÜABCD is a pclrollclogram point E 2. is on side BC. Line DE intersects ray AB in point T. Prove that DE x BE = CE x bisectors of Z B und Z C The of A ABC intersect each other in point X. Line AX intersects side BC in point Y. AB — 5, AC — 4, BC = 6 then find 3. D c x c In trapezium ABCD, V. Solve : 2. o side AB Il side DC, diagonals AC and BD intersect in point O. If AB = 20, DC - 6, 0B - 15 then find 01). In the figure, DEGF is a square. In A ABC A = 900 . =BDXEC c A MNT — A QRS. Length of ultitudc drawn from point T 'is 5 and length of altitude 3. A MINT) drawn from point S is 9. Find the ratio A QRs) [9] QD, then prove [9] [Contd..
  3. VI. Solve . • (Any 2) 2. s 3. [4] c Q In the figure, seg AC and seg BD intersect each other in point P and AP BP . Prove that, CP DP A ABP A CDP In A PQR, seg RS bisects Z R. IfPR= RQ = 20PS = 12 then find SQ. Measures of some angles in the figure Ore given. Prove that AP AQ PB QC c xxxxxxxxxxxxxxxxxxxxxxxx MSBSHSE/SSC/2019/MATHS-ll