BCA TU Mathematics I Question Paper 2018
After a long interval of around six month you finally joined the Bachelor course and you might have forgotten the regular routine of your studies. Some of you might be from Science background, some might be from Management and few might be from Education or Humanities background. So, you might have studied Mathematics because in almost all stream of High School Mathematics is taught.
However if you have't studied mathematics in High School its going to be tough for you in First Semester to pass the exams. But no worries, whether mathematics is hard or easy for you, if you study smarty there is high chance of getting good marks in exams. And for smart study what method do you apply ? Most people look for old question papers and practice accordingly. Therefore today we have brought Question Paper of Mathematics I Year 2018.
Course Content and Syllabus:
Mathematics I of BCA TU First Semester is of 3 Credit Hours with 3 Lecture, 1 Tutorial Hours and 1 Lab Hour. The Course Code is CAMT104.
Chapters in CAMT104 are as below:
- Set Theory and Real & Complex Numbers:
- Relation Function and Graph
- Sequence and Series
- Matrices and Determinants
- Analytical Geometry.
Group B Attempt any SIX questions. [6X5 = 30]
11. 32 students play basketball and 25 students play volleyball. It is found that 20 students
play both the games. Find the number of students playing at least one game. Also, find
total number of students if 13 students play none of these games.
12. Let f : N → N be defined by f(x) = 2x for all x ε N where N is the set of natural numbers.
Show that f is one-one but not onto function.
13. If the three consecutive term of a geometric series be increased by their middle term, then
prove that the resulting terms will be in Harmonic progression (H.S.).
14. Find the adjoin of the matrix:
15. Prove that:
16. Find the equation of parabola with focus (– 1, 2) and directrix.
17. Transform and check whether this transformation is liner?
Group C Attempt any TWO questions. [210 = 20]
18. Define permutation and combination try to establish relationship between them with the
help of formulae. In how many ways can the letters of the word "LOGIC" be arranged so
that
i) Vowels may occupy odd position?
ii) No vowels are together?
19. Define scalar and vector product in three dimensional space with their geometrical
interpretation and prove the formula sin(A + B) = sinAcosB + cosAsinB by using vector
method.
20. Define the logarithmic function, stale it's properties.
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