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3rd Preliminary Examination, 2018-19 Mathematics (2 hour and 30 minutes) Grade: X Max Marks: 80 _____________________________________________________________________ Answers to this Paper must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent in reading the question paper. The time given at the head of this Paper is the time allowed for writing the answers. _____________________________________________________________________ SOLUTION Section A Answer 1 a) 1 2 3 4 2 x2 3 X= 5 2x 1 X is a matrix of order 2 x 1. a Let, X = b 1 2 a = 3 3 4 b 5 a 2 b 3 => = 3 a 4 b 5 a 2 b 3 .x 3 => 3 a 4 b 5 x1 3 a 6 b 9 5 2 b 4 b 2 a -4 a = -3 =1 1 X = b) 2 4 a+5 b 4 a 5 b = 8 7 Apply componendo- dividendo, 4 a+5 b+4 a 5 b 4 a 5 b 4 a+5 b 8a 10 b = = 8+7 7 7 15 +1 .
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