DOE Class XI Mid-Term Mathematics (041) 2023-24 PDF

(5 (M) No. ofpages -16 MID-TERM EXAMINATION (2023-24)...

(5 (M) No. ofpages -16 MID-TERM EXAMINATION (2023-24) CLASS : XI SUBJECT: MATHEMATICS (041) Time Allowed : 3 hours Maximum Marks :80 H4T: 3 fyaA ch - 80 1. 2. 3. 4. 5. 6. 7. 8. 9. GENERAL INSTRUCTIONS: Read the following instructions very carefully and strictly follow them : 1 This question paper contains 38 questions. Allquestions are compulsory. 2 This section paper is divided into five sections -A, B, C, D and E. 3 In Section A,questions No. 1to 18 are multiple choice questions (MCQs) and questions number 19 and 20 are Assertion-Reason based questions of lmark each. 4 In Section B, questions No. 21 to 25 are very short answer (VSA) type questions, carrying 2 marks each. 5. In Section C, questions No. 26 to 31 are Short answer (SA) type questions, carrying 3 marks each. 6. In Section D, questions No. 32 to 35 are long answer (LA) type questions, carrying 5 marks each. 7. In Section E, questions No. 36 to 37 are study based questions carrying 4 marks each. 8. There is no overall choice.However, on internal choice has been provided in 2 questions in section B, 3questions in section C, 2 questions in Section D and 2 questions in Section E. 9. Use of calculator is not allowed. XI-MATH-M  SECTION-A This section comprises multiple choice ouestions (MCQs) of 1 mark each. 1. If -2x +12x+1, then xe 1 (a) (-0,0) (b) (-, 0] (c) [0, 0) (d) (0,co) X-4 2 The domain of the function f given by f(x)=: 1 x'-16 (a) R-{4} (b) R-(4} (c) R (d) R- {4,-4} 1 1 3 If f(x) =X--,X#0 then 1S equal to X 1 (a) X (b) X (c) 2x (d) 0 1 4 IE>1,then xe X (a) (1,0) (b) (0, 1) (c) (-o,0)U,o) (d) (-0,0) 5. Let n(A) =7, n(B) =3, then maximum value of n(ANB) will be: 1 (a) 3 (b) 7 (c) 10 (d) 6. If a +ib =c+id then : 6) (a) atc=0 (b) b +=0 (c) a+b=c+ (d) b + d' =0 7. If(x]-3) ([x]) 4) =0, where [] represents greatest integer function, then xE: 1 (a) (3, 5) (b) 3, 5) (c) (3,5] (d) [3, 5] 3 XI-MATH-M  If (x- y, y+ x) = (0,2) then 2x +3v~ 8. 1 0 2 (a) (b) (c) 3 5 (d) 9. IfA=(2,3,4, 5}, B=(3, 5,7,9), then (AUB)-(B-A) = (a) (2, 3} (b) {2, 3, 4, 5} (c) {2, 3, 4,5, 7,9) (d) (2, 4, 7,9} 10, If|x-22-3, then xE: 1 (a) } (b) (-o, o) (c) [-1,5] only (d) (-1,5) only 11. Solution of alinear inequality in variable xis represented on the number line as , 1 2 4 then xE: (a) (2,4) (b) (2,4) (c) (2,4] (d) [2, 4] 12. If A={x:xeN, x