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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Find the combined equation of the following pair of lines passing through point (2, 3) and parallel to the coordinate axes. - Mathematics and Statistics

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प्रश्न

Find the combined equation of the following pair of lines passing through point (2, 3) and parallel to the coordinate axes.

बेरीज
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उत्तर

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

∴ The equations of the lines passing through (2, 3) and parallel to the coordinate axes are x = 2 and y = 3.

i.e. x − 2 = 0 and y − 3 = 0

∴ Their combined equation of these lines is

(x − 2)(y − 3) = 0

i.e., xy − 3x − 2y + 6 = 0 

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पाठ 4: Pair of Straight Lines - Exercise 4.1 [पृष्ठ ११९]

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