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Find the X-intercept of the line x + 2y – 1 = 0

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Question

Find the X-intercept of the line x + 2y – 1 = 0

Sum
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Solution 1

Given equation of the line is x + 2y – 1 = 0
To find the x-intercept, put y = 0 in given equation of the line
∴ x + 2(0) – 1 = 0
∴ x + 0 – 1 = 0
∴ x = 1
∴ X-intercept of the given line is 1.

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Solution 2

Given equation of the line is
x + 2y – 1 = 0
i.e. x + 2y = 1

∴ `x/1 + y/(1/2)` = 1

Comparing with `x/"a"  + y/"b" ` = 1, we get a = 1
∴ X-intercept of the line is 1.

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Equations of Lines in Different Forms
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Chapter 5: Locus and Straight Line - Miscellaneous Exercise 5 [Page 79]

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Balbharati Mathematics and Statistics (Commerce) Part 1 [English] Standard 11 Maharashtra State Board
Chapter 5 Locus and Straight Line
Miscellaneous Exercise 5 | Q 6 | Page 79
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