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Does point A(2, 3) lie on the line 3x + 2y – 6 = 0? Give reason. - Mathematics and Statistics

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Question

Does point A(2, 3) lie on the line 3x + 2y – 6 = 0? Give reason.

Sum

Solution

Given equation is 3x + 2y – 6 = 0.
Substituting x = 2 and y = 3 in L.H.S. of given equation, we get
L.H.S. = 3x + 2y – 6 
= 3(2) + 2(3) – 6
= 6
≠ R.H.S.
∴ Point A does not lie on the given line.

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Chapter 5: Locus and Straight Line - Miscellaneous Exercise 5 [Page 79]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 11 Standard Maharashtra State Board
Chapter 5 Locus and Straight Line
Miscellaneous Exercise 5 | Q 8 | Page 79
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