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The equation 2x+5y=7 has a unique soluti...

The equation 2x+5y=7 has a unique solution, if x and y are

A

natural numbers

B

positive real numbers

C

real numbers

D

rational numbers

Text Solution

Verified by Experts

The correct Answer is:
A

In natural numbers, there is only one pair i.e., (1,1) which satisfy the given equation but in positive real numbers, real numbers and rational numbers there are many pairs to satisfy the given linear equation.
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NCERT EXEMPLAR-LINEAR EQUATION IN TWO VARIABLES-Linear Equation In Two Variables
  1. The linear equation 2x-5y=7 has

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  2. The equation 2x+5y=7 has a unique solution, if x and y are

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  3. If (2,0) is a solution of the linear equation 2x+3y=k, then the value ...

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  4. Any solution of the linear equation 2x+0y+9=0 in the two variables is ...

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

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

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

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

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

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  10. The graph of y=6 is a line

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

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

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

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

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

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

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

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

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

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

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