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

The graph of the linear equation 2x+3y=6 cuts the Y-axis at the point

A

(2,0)

B

(0,3)

C

(3,0)

D

(0,2)

Text Solution

Verified by Experts

The correct Answer is:
D
Since, the graph of linear equation 2x+3y=6 cuts the Y-axis.
So, we put x=0 in the given equation 2x+3y=6, we get
`2xx0+3y=6`
`implies " " 3y=6`
`implies " " y=(6)/(3)`
`therefore " " y=2`
Hence, at the point (0,2), the given linear equation cuts the Y-axis.
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NCERT EXEMPLAR-LINEAR EQUATION IN TWO VARIABLES-Linear Equation In Two Variables
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  2. Any solution of the linear equation 2x+0y+9=0 in the two variables is ...

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  3. The graph of the linear equation 2x+3y=6 cuts the Y-axis at the point

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  4. The equation x=7, in two variables can be written as

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  5. Any point on the X-axis is of the form

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  6. Any point on the line y=-x is of the form

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  7. The equation of X-axis is of the form

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  8. The graph of y=6 is a line

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  9. x=5 and y=2 is a solution of the linear equation

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  10. If a linear equation has solutions (-2,2)(0,0) and (2,-2), then it is ...

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  11. The positive solutions of the equation ax+by+c=0 always lies in the

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

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

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

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

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

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

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

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

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

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