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Write each of the following as an equat...

Write each of the following as an equation of the form `ax+by+c=0` and write the values of a,b,c in each case.
(i) `x=-3`
(ii) `y=5`
(iii) `3x=2`
(iv) `5y=4`

Text Solution

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We have
`x=-3 rArrx+ 3 = 0`
`rArr 1* x+0*y + 3 =0.`
This is of the form `ax+ by + c= 0," where " a= 1, b=0 and c=3.`
(ii) `y=5 rArr y-5=0`
`rArr 0* x+ 1. y- 5 = 0.`
This is of the form `ax+by+ c=0, " where " a=0, b=1 and c=-5.`
(iii) `3x=2 rArr 3x- 2 = 0.`
`rArr 3x+ 0* y-2=0.`
This is of the form `ax+by + c=0, " where " a= 3, b=0 and c=-2.`
(iv) `5y= 4 rArr 5y-4=0`
`rArr0*x+5y-4=0.`
This is of the form `ax+by+c=0," where " a=0,b=5 and c=-4.`
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RS AGGARWAL-LINEAR EQUATIONS IN TWO VARIABLES-Multiple Choice Questions (Mcq)
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  2. The equation of the x-axis is

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  3. The equation of the y-axis is

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

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  5. The point of the form (a,-a),a!=0 lies on

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  6. The linear equation 3x-5y=15 has

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

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  8. The graph of y=5 is a line

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  9. The graph of x=4 is a line

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  10. The graph of x+3 =0 is a line

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  11. The graph of y+2 = 0 is a line

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

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  13. The graph of the linear equation 2x+ 5y = 10 meets the x-axis at the p...

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  14. The graph of the line x=3 passes through the point

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  15. The graph of the line y=3 passes through the point

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  16. The graph of the line y=-3 does not pass through the point

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

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

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  19. How many linear equations can be satisfied by x = 2 and y = 3 ?

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  20. A linear equation in two variables x and y is of the form ax+ by + c =...

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

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