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The graph of the linear equation 2x+3y=6...

The graph of the linear equation 2x+3y=6 is a line which meets the X-axis at the point.

A

(0,2)

B

(2,0)

C

(3,0)

D

(0,3)

Text Solution

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The correct Answer is:
C
Since, the graph of linear equation 2x+3y=6 meets the X-axis.
So, we put y=0 in 2x+3y=6
`implies " " 2x+3(0)=6`
`implies " " 2x+0=6`
`implies " " x=(6)/(2) implies x=3`
Hence, the coordinate on X-axis is (3,0).
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NCERT EXEMPLAR-LINEAR EQUATION IN TWO VARIABLES-Linear Equation In Two Variables
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  2. The positive solutions of the equation ax+by+c=0 always lies in the

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  3. The graph of the linear equation 2x+3y=6 is a line which meets the X-a...

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  4. The graph of the linear equation y=x passes through the point

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  5. If we multiply or divide both sides of a linear equation with a non-ze...

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  6. How many linear equations in x and y can be satisfied by x=1 and y=2 ?

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  7. The point of the form (a,a) always lies on

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  8. The point of the form (a,-a) always lies on the line

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  9. The point (0,3) lies on the graph of the linear equation 3x+4y=12.

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  10. The graph of the linear equation x+2y=7 passes through the point (0,7)...

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  11. The graph given below represents the linear equation x+y=0.

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  12. The graph given below represents the linear equation x=3.

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  13. The coordinates of points in the table represent some of the solu...

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  14. Every point on the graph of a linear equation in two variables does no...

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  15. The graph of every linear equation in two variables need not be a line...

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  16. Draw the graphs of linear equations y=x and y=-x on the same cartesian...

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  17. Determine the point on the graph of the linear equation 2x+5y=19 whose...

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  18. Draw the graph of the equation represented by a straight line which is...

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  19. Draw the graph of the linear equation whose solutions are represented ...

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  20. Write the linear equation such that each point on its graph has an ord...

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