16. Given: 6x + 15y = 51. What are the possible solutions of x in the given Diophantine equation if x is positive integer? 1 and 3 3 and 6 3 and 4 1 and 6 17. Which of the following linear Diophantine equations have no solution in the set of positive integers? 21x + 14y = 70 3x + 7y = 87 30x 17y = 300 5x + 21y =906 18. If a, b and care integers such that (a is congruent b mod m) and (b is congruent to c mod m), then (a is congruent to c mod m). What property of congruence is illustrated in the above statement? Reflexive Property Symmetric Property Subtraction Property Transitive Property

16. Given: 6x + 15y = 51. What are the possible solutions of x in the given Diophantine equation if x is positive integer? 1 and 3 3 and 6 3 and 4 1 and 6 17. Which of the following linear Diophantine equations have no solution in the set of positive integers? 21x + 14y = 70 3x + 7y = 87 30x 17y = 300 5x + 21y =906 18. If a, b and care integers such that (a is congruent b mod m) and (b is congruent to c mod m), then (a is congruent to c mod m). What property of congruence is illustrated in the above statement? Reflexive Property Symmetric Property Subtraction Property Transitive Property

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter13: Conic Sections

Section13.1: Circles

Problem 48PS

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