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Draw the Graph of the Equation 2x + Y = 6. Shade the Region Bounded by the Graph and the Coordinate Axes. Also, Find the Area of the Shaded Region. - Mathematics

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प्रश्न

Draw the graph of the equation 2x + y = 6. Shade the region bounded by the graph and the
coordinate axes. Also, find the area of the shaded region.

उत्तर

We have 

2x + y= 6 

y = 6 - 2x     ................ (1)

Putting  x = 3 in (1) , we get y = 6 - 2 × 3 = 0 

Putting  x = 0 in (1) , we get y = 6 - 2 × 0 = 6 

Thus, we obtained the following table giving coordinates of two points on the line
represented by the equation

 2x + y = 6 

 3  0
y  0  6

The graph of line   2x + y = 6 

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अध्याय 7: Linear Equations in Two Variables - Exercise 7.3

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आरडी शर्मा Mathematics [English] Class 9
अध्याय 7 Linear Equations in Two Variables
Exercise 7.3 | Q 13

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