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SAMPLE PAPER, (SEMESTER-1), SELF ASSESSMENT, , MATHEMATICS, , Meuurnum Mi, , , , me Allowed 9, , General instructions: Same instructions a given in the Sample Paper 1 ;, , SECTION - A [16 Marks] (16Q = 1M, How many terms ore there in the sequence A, he a 104, () 35 &) 40 P sities, © 45 @, 2. Find x for which ys =: ae wey, 8 Bem c Q 4000cm Rk, a Tn . pr (eo) 30m ) 40m, 4z Sw 20 35 aan joree as, "3 * 4 6. Factorise the following expression:, is mis 2 oo? ~ 1306 6, 3. Which term of the AP. 3, 15, 27, 39, (0) + 2DQx~ DOs 3, will be more than its 21" term ©) & - 22x + 16+ 3), fo) 31 (&) 32 © & = DQx ~ Dore, , @D) &~ 2x ~ Ne - 2), , , , © 3 (@) 34, : 7. In AABC, DE Il BC f AD = x, DB « x, 3 ‘, . veel? 3) and the aes as AE wx + 2 and EC ex 1. Find x, | A, A= 0., (@) -2 o ~3, @ 1 (d) None of these bd, E, h A vertical stick 12 om long cast a shadow 8, em long on the ground. At the same time,, © Tower costs a shadow 40 m long on the, Ground, Determine the height of the tower a c, , th gy EOUL Us Skane Semester] Class x
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SECTION - C [12 Marks] BQ « any, 23. A rectangular garden plot 16 m by 24 m is . In a trapezium ABCD, AB || OC = 248. pp, , to be bordered by a strip of uniform width, x m wide on the outside so as to double the, area. Find:, , A The orea of the rectangular plot, , (a) 384 m? (b) 385 m?, (©) 386 m? (@) 387 m?, 244 @) The area of the new rectangular garden, () 755 m? (b) 768 m?, (© 749 m’ () 745 m?, 250 The value of x, (@) 1 (b) 2, © 3 @ 4, 2G@) The perimeter of new rectangular, garden, (e) 105m (b) 110 m, © 108m (@) 112m, , 24. The angle of « triangle are in AP. if, , the greatest angle is twice the least. Find, the, , 277 A Minimum angle, , (a) 20° (b) 40°, () 60° (@ 80°, 2% ® Maximum angle, (@) 20° (b) 40°, () 60° (@ 80°, 22 (C) Common difference, (e) 20° (b) 40", () 60° (@) 80°, 2H ©) First angie of the AP, [Measure other, than maximum and minimum), (a) 60° (b) 80", © 100° (@ 120°, , drawn parallel to AB cut AD in F and ac \,, E such that BE = 3EC. Diagonal DB interse.., EF at G. and 7FE = 10 AB., , A 6, E F, Db c, 2) A) ABGE ~ ABDC by the similarity, (@) AA (b) Sas, ( sss (&) ASA, 228) Find the ratio of 8G : BD, 2 2, (a) ; (b) ;, 3, Find value of FG is, 330 times of AB equal how mo~), 1, @ 5 ) 3, 5, © 3 @ $, , ay™ Find the ratio of 2S 4, , s, , vIn Nie, F 4, , nie, , . ni, PRUE Chan AD nda tn deininad s SD ee