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तमिलनाडु बोर्ड ऑफ सेकेंडरी एज्युकेशनएसएसएलसी (अंग्रेजी माध्यम) कक्षा १०

Represent the given relation by (a) an arrow diagram(b) a graph and (c) a set in roster form, wherever possible {(x, y) | x = 2y, x ∈ {2, 3, 4, 5}, y ∈ {1, 2, 3, 4} - Mathematics

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प्रश्न

Represent the given relation by
(a) an arrow diagram
(b) a graph and
(c) a set in roster form, wherever possible

{(x, y) | x = 2y, x ∈ {2, 3, 4, 5}, y ∈ {1, 2, 3, 4}

आलेख
योग

उत्तर

x = {2, 3, 4, 5} y = {1, 2, 3, 4}

x = 2y

2y = x

y = `x/2`

If `x = 2 ⇒ y = x/2 = 2/2 = 1`

if `x = 3 ⇒ y = x/2 = 3/2`

If `x = 4 ⇒ y = x/2 = 4/2 = 2`

If `x = 5 ⇒ y = x/2 = 5/2`

(a) Arrow diagram

(b) Graph

(c) Roster form R = {(2, 1) (4, 2)}

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Relations and Functions - Exercise 1.2 [पृष्ठ ९]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
अध्याय 1 Relations and Functions
Exercise 1.2 | Q 4. (i) | पृष्ठ ९

संबंधित प्रश्न

Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b ∈ A, b is exactly divisible by a}.

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