Sunday, February 14, 2016
Total No. of Questions : 07
Subject Code : BB-102
Paper ID : [C0202]
Time : 3 Hrs. Max. Marks : 60
INSTRUCTION TO CANDIDATES :
1. SECTION-A is COMPULSORY .
2. Attempt any Four questions from SECTION-B.
1. (a) If five times the 5th term of an A.P. is equal to six times the 6th term show that 11th term is zero.
(b) Which term of the series 18 -12 + 8…. is ?
(c) A sum of amount to Rs.8820/- in two years and R s.9261/- in three years. Find the rate of compound interest.
(d) Prove that log
(e) Find the value of ‘r’ if the coefficients of (2r + 4) th and (r – 2)th terms in the expansion of (1 + x)18 are equal.
(f) Find the domain the function .
(g) Evaluate the limit, (1- 4x.
(h) Prove that
(i) Find the values of x for which the function f (x) = is maximum/minimum.
(j) Find the values of ‘m’ for which the equation
has equal roots.
2. (a) Using Cramer’s Rule, solve the following system of equation for x, y and z.
(b) Solve the given equations for x, y and z by Gauss Elimination method.
3. (a) Discuss the continuity of the function
(b) Sum the series .7 +.77 +.777 +…. to n terms.
4. (a) There are 15 points in a plane, no three of which are in a straight line excepting four, which are collinear. Find the number of (i) straight lines (ii) triangles formed by joining them.
(b) Find the term independent of ‘x’ in the expansion of 9.
5. (a) Prove the logical expression
P ( q ^ r) = (P q) ^ (P r).
(b) Find where y = ax + xa+aa+xx- logx, x.
6. (a) y = x –x + (1 + x, find
(b) Define a set. State and prove De Morgan’s Laws.
7. (a) If y = f(x) = , prove that f(y) = x.
(b) If ,
Show that = -1 (1 – x )-2.
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