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CBSE Pre Board Class 12 2016 : Mathematics (GEMS Our Own Indian School (OIS), Al Quoz, Dubai)

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Fathima Maha
GEMS Our Own Indian School (OIS), Al Quoz, Dubai
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CENTRE FOR ADVANCEMENT OF STANDARDS IN EXAMINATIONS (GEMS ASIAN SCHOOLS) COMMON REHEARSAL EXAMINATIONS JANUARY 2016 ( ALL INDIA SENIOR SCHOOL CERTIFICATE EXAMINATION) Subject: : : Mathematics Time:3 hours Max.Marks:100 Subject Code: 041 General Instructions (i) (ii) (iii) (iv) (v) (vi) All questions are compulsory Please check that this question paper contains 26 questions. Questions 1-6 in section A are very short-answer type questions carrying 1 mark each Questions 7-19 in Section B are long-answer I type questions carrying 4 marks each. Questions 20-26 in Section C are long-answer II type questions carrying 6 marks each. Please write down the serial number of the question before attempting it. SECTION A 1. 2. If A is a square matrix of order 3 and |3 | =k | |, then write the value of k. If m and n are the order and degree of the differential equation 5 2 + 4 3. 2 3 3 + 3 = 2 1 Then find m-n. Write the integrating factor in the differential equation 1 (1 + ) -( )y = 1+ 4. If | | = 4 , 5. For what value of a the vectors 6. 2 | . | = 2 then find | |2 | | and a +6 -8 are collinear? 2 -3 +4 If a line makes angle , with the axes respectively then Find 2 + 2 + 2 SECTION B 7. If = [ 1 2 ] , show that 1 = [ 1 2 OR Page 1 of 4 2 ] 2

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