BCASemester 12025-26Mathematical FoundationBBC102

Mathematical Foundation (BBC102) - AKTU Question Paper 2025-26

BCA · Semester 1 · Free PDF Download

This is the official AKTU Mathematical Foundation Previous Year Question Paper for BCA Semester 1, academic session 2025-26. Published by Dr. A.P.J. Abdul Kalam Technical University (AKTU/UPTU), Lucknow. Free PDF download — no login required.

Course:BCA

Semester:Semester 1

Session:2025-26

University:AKTU / UPTU

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Questions Asked in 2025-26

Mathematical Foundation (BBC102) — complete question paper · 70 marks · 3 Hours

Section AAttempt all questions in brief. 02 x 7 = 14

a
Define Euler graph. 5 K 1 Find the inverse of given matrix cos sin sin cosA   33,f xy xy x y , find
d
Prove that 1/2 2   . 4 K 3 Differentiate with respect to x of the function 1c o s
f
File in the blanks: (i) If λ is the eigen value of an orthogonal matrix then other eigen value of same orthogonal matrix is ………………. . (ii) The characteristic root of a triangular matrix is ……………
g
Find the order and degree of differential equation: 42 20dy dy xydx dx

Section BAttempt any three of the following: 07 x 3 = 21

a
Find nth derivative of  sinxeb x c  . 3 K 4
b
Evaluate 1tan xdx Using Cayley-Hamilton theorem find A-1, given that Find the rank and nullity of the matrix
e
Find Laplace transform of 2 costa t . 5 K 2

Section CAttempt any one part of the following: 07 x 1 = 07

a
Investigate the value of λ and μ so that the equations have (i) no solution, (ii) a uni que solution, (iii) an infinite n u m b e r solutions
b
Find the Jacobian of u, v with respect to x, y for the functions sinxue y and  log sinvx y
a
Using elementary transformation to reduce the following matr ix A into triangular form and hence find the rank of matrix
b
Solve linear differential e quation with constant coefficient, find C.F and 2 56 xdy d y yedx dx 
a
Define adjacency matrix. Draw the graph represented by the g iven adjacency matrix
b
Show that 1. sinnn n
a
Evaluate cos cosat btL t
b
Test the consistency and fi nd the solution if it is consiste nt

Question text is extracted from the official AKTU question paper PDF above. Hindi translations are omitted — every question is printed in English in the original paper. Last verified: 2026-08-23.

Repeated Questions — BBC102

Questions that appeared in more than one session, found by comparing 2 years of Mathematical Foundation papers (2024-25, 2025-26)

Define Euler graph. 5 K 1 Find the inverse of given matrix cos sin sin cosA   33,f xy xy x y , find