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Find the joint equation of the line passing through (1, 2) and parallel to the coordinate axes - Mathematics and Statistics

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Question

Find the joint equation of the line passing through (1, 2) and parallel to the coordinate axes

Sum
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Solution

Equations of the coordinate axes are x = 0 and y = 0

∴ the equations of the lines passing through (1, 2) and parallel to the coordinate axes are x = 1 and y = 2.

i.e. x - 1 = 0 and y - 2 = 0

∴ their combined equation is

(x - 1)(y - 2) = 0

∴ x(y - 2) - 1(y - 2) = 0

∴ xy - 2x - y + 2 = 0

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Combined Equation of a Pair Lines
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Chapter 4: Pair of Straight Lines - Miscellaneous Exercise 4 [Page 130]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
Chapter 4 Pair of Straight Lines
Miscellaneous Exercise 4 | Q 1.05 | Page 130

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