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Reduce the following equation into intercept form and find their intercepts on the axes. 3x + 2y – 12 = 0 - Mathematics

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प्रश्न

Reduce the following equation into intercept form and find their intercepts on the axes.

 3x + 2y – 12 = 0

योग
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उत्तर

The given equation is 3x + 2y – 12 = 0.

It can be written as

3x + 2y – 12

`(3"x")/12 + (2"y")/12 = 1`

i.e. `"x"/4 + "y"/6 = 1` ..........(1)

This equation is of the form `"x"/"a" +"y"/"b" = 1`, where a = 4 and b = 6.

Therefore, equation (1) is in the intercept form, where the intercepts on the x and y axes are 4 and 6 respectively.

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अध्याय 10: Straight Lines - Exercise 10.3 [पृष्ठ २२७]

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एनसीईआरटी Mathematics [English] Class 11
अध्याय 10 Straight Lines
Exercise 10.3 | Q 2.1 | पृष्ठ २२७
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