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BCA 2nd sem Mathematics paper 2017

UniversityGGSIPU, New Delhi
CourseBCA
Semester2
SubjectMathematics
Year2017
Downloads261
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Sourabh Bajaj
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Let A = {1, 2, 3) and B = {a, b, c). Let R = {(1.b)(1.c)(3.b)}. Find the domain and range of the relation. Determine ..

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Let D denote the set of all positive divisors of the positive integer n. Determine  and represent it by Hasse Diagram.

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Define isomorphic and Hamilton Graphs with example.

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Let f, g, be functions from N to N (set of natural numbers) for such that f(n) = n + 1, g(n) = 2n. Find fog and gof.

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Define Tautology and contradictions,

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Show that the relation of parallel lines in the set of lines on a plane is an equivalence relation.

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Choose any two statements p and q as you like. Draw the truth table for and

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Consider the graph G (V, E) where v consists of Four vertices A, B, C,D and E of five edges where represent this undirected graph diagrammatically. Determine the degree of each vertex.

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Let f be a mapping from R to R such that f(x) = 2x + 3. Show that f is invertible and find its inverse.

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.If n (A) = 40, n(B) = 30, = 20. Then find

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Let A = {1,2,5,6), B = {2,5,7), C = (1,3,5,7,9).
Verify (A x B)  {A X C} = A x B x C}.

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Let N = {1,2,3,........), denote the set of all positive integers and A = {, 3 < x < 12), B = {, x is even, x < 15). Find

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If R is an equivalence relation in a set A. Then prove that is also equivalence relation.

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In a lattice, prove that

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In a lattice, prove that 

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Define complemented lattice, also find the complement (if exists) of all elements of

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Let A = {1,2,3,4,6,8,9, 12, 18, 24} be equipped with relation x divides y.Draw the Hasse diagram.

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Let G be an undirected graph with m vertices, sayDefine the adjacent matrix A of G. Consider the undirected graph G with 5 vertices shown in the following diagram.

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Draw the directed graph for the following incident matrix. Also find the degree of all vertex. 

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Show that the two graphs shown in the figure are Isomorphic.

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Show that the two graphs shown in the figure are Isomorphic.

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Prove that the union of two graphs  will be a graph such that.

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Prove that the union of two graphs  will be a graph such that.

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By means of truth tables, justify that the conditional statement "If p then q" is logically equivalent to the statement "Not p or q".

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Define a proposition. Let p and q be propositions and denote compound proposition, "if p then q" Draw the truth table for the compound proposition
Let p: you try, and q: you will succeed. Justify the truth table for

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Verify De-morgan's laws for propositions. And also prove that.

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Consider the following:
P: Today is Tuesday, Q: It is raining, R: It is cold.
Write in simple sentence the meaning of

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Consider the following:
P: Today is Tuesday, Q: It is raining, R: It is cold.
Write in simple sentence the meaning of .

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