Solved question paper for MATH-2 Dec-2017 (DIPLOMA civil enginerring 1st-2nd)

Applied mathematics-2

Previous year question paper with solutions for Applied mathematics-2 Dec-2017

Our website provides solved previous year question paper for Applied mathematics-2 Dec-2017. Doing preparation from the previous year question paper helps you to get good marks in exams. From our MATH-2 question paper bank, students can download solved previous year question paper. The solutions to these previous year question paper are very easy to understand.

These Questions are downloaded from www.brpaper.com You can also download previous years question papers of 10th and 12th (PSEB & CBSE), B-Tech, Diploma, BBA, BCA, MBA, MCA, M-Tech, PGDCA, B-Com, BSc-IT, MSC-IT.

Print this page

Question paper 1

  1. SECTION-A

    Q1. Choose the correct answer.

    i. Which one is a measure of dispersion?

    a) Mean b) Median c) Mode d) Range

    Answer:

  2. ii. Order of differential equation (y''')2 + 2y'' + 3y = x

    a) 1 b) 2 c) 3 d) 4

    Answer:

  3. iii. A square matrix A is singular if |ܣ |is

    a) 0 b) 1 c) 2 d) 3

    Answer:

  4. iv. If x = sin3t ,then acceleration at \(\pi \over 2\) ଶ is (x stands for displacement at time t)

    a) -9 b) -3 c) 3 d) 9

    Answer:

  5. v. The equation of the normal to the curve y = sinx at (0, 0) is

    a) x = 0 b) y = 0 c) x + y = 0  d) x - y = 0

    Answer:

  6. Q2. State True or False.

    a. limQ->0 sinQ/Q is equal to 1

    Answer:

  7. b. \(\int sin 4x dx = cos 4x\)

    Answer:

  8. c. If D≠0, then system has unique solution

    Answer:

  9. d. If the mean of 4, 3, 7, x, 10  is 6 then x = 6 

    Answer:

  10. e. The integral of log x w.r.t x is 1/x

    Answer:

  11. Q3. Fill in the blanks.

    \(\int e ^{mx}\) ݀ is equal to -------

    Answer:

  12. ii. Area of trapezoid = 1/2 (sum of parallel side) x -------.

    Answer:

  13. iii. If AB is defined then (AB)t = -------------

    Answer:

  14. iv. Integration is defined as the ------ of differentiation.

    Answer:

  15. v. The differential co-efficient of a constant is ------.

    Answer:

  16. SECTION-B

    Q4. Attempt any six questions.

    (i) If = a(t + 1/t), y = a(t - 1/t) where “a” is constant. Then prove that dy/dx = x/y

    Answer:

  17. (ii) If ݇ kx + y - z = 0  and  x-  2y + z = 3, and 4x - 3y + z = 5 system is inconsistent, then find the value of ݇k

    Answer:

  18. (iii) Evaluate ∫ dx/1+cotx

    Answer:

  19. (iv) If y = (sin-1 x)2  prove that (1+ x2) y2 - xy1 = 2

    Answer:

  20. (v) Evaluate \(\int\)cos4 x dx

    Answer:

  21. (vi) The probability of the horse A winning the race is 1/4 and the probability of horse B winning the race is 1/3, find the probability that one of the horse wins the race.

    Answer:

  22. (vii) Calculate the median of the following data:-

    Class interval 0-5 5-10 10-15 15-20 20-25 25-30 30-35
    Frequency 12 15 25 40 42 14 8

     

    Answer:

  23. (viii) Find the point on the curve y = 10 + 2x - x2 the curve has slope unity.

    Answer:

  24. SECTION-C

    Q5. Attempt any three questions.

    (i) Solve the following equations by matrix method

    x - y + z = 4 , x - 2y - 2z = 9 , 2x + y + 3z = 1 

    Answer:

  25. (ii) Using Simpson’s Rule, calculate the approximate value of  \(\int_0^1 {1 \over 1 +x^2}\) by dividing the interval 0 to 1 into four equal parts. Hence obtain the value of π correct to four places of decimals.

    Answer:

  26. (iii) Solve the differential equation 

    \(y^2 (x^2 - 1){dy \over dx} - x^2 (y^2 - 1) = 0\)

    Answer:

  27. (iv) a) Differentiate etan x w.r.t sin x

    b) Determine the point of maxima of f(x) = sin x + cos x in 0<= x pi/2

    Answer:

  28. (v) Find S.D and coefficient of variation of following data

    Marks  0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80
    No of student 5 10 20 40 30 20 10 4

     

    Answer: