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Solve 9x+3y+12=0 18x+6y+24=0...

Solve
`9x+3y+12=0`
`18x+6y+24=0`

A

Unique solution

B

Exactly two solutions

C

Infinitely many solutions

D

No solution

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The correct Answer is:
D
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On comparing the ratios (a_(1))/(a_(2)), (b_(1))/(b_(2)) and (c_(1))/(c_(2)) , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident : 9x + 3y+12=0 18x+6y+24=0

On comparing the ratios a_(1)/a_(2), b_(1)/b_(2)" and "c_(1)/c_(2) , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel, or coincide. 9x+3y+12=0 ; 9x+6y+24=0

The radius of the circle inscribed in the triangle formed by the lines x = 0, y = 0 and 4x + 3y - 24 = 0 is :

6x-3y+10=0 2x-y+9=0

Solve for x and y : 2x-y+3=0 3x-5y+1=0

The locus of the centre of circle which cuts the circles x^2 + y^2 + 4x - 6y + 9 =0 and x^2 + y^2 - 4x + 6y + 4 =0 orthogonally is

Show that the lines 2x + 3y - 8 = 0 , x - 5y + 9 = 0 and 3x + 4y - 11 = 0 are concurrent.

Prove that the circles x^(2) +y^(2) - 4x + 6y + 8 = 0 and x^(2) + y^(2) - 10x - 6y + 14 = 0 touch at the point (3,-1)

SUBHASH PUBLICATION-PAIR OF LINEAR EQUATION IN TWO VARIABLES-EXERCISE 3.2
  1. From the pair of linear equations in the following and problems, and f...

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  2. From the pair of linear equations in the following and problems, and f...

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  3. On comparing the ratios (a1)/(a2),(b1)/(b2) and (c1)/(c2) , and wit...

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  4. Solve 9x+3y+12=0 18x+6y+24=0

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  5. 6x-3y+10=0 2x-y+9=0

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  6. On comparing the ratios (a(1))/(a(2)),(b(1))/(b(2)) and (c(1))/(c(2)) ...

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  7. On comparing the ratios (a(1))/(a(2)),(b(1))/(b(2)) and (c(1))/(c(2)) ...

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  8. On comparing the ratios (a(1))/(a(2)),(b(1))/(b(2)) and (c(1))/(c(2)) ...

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  9. On comparing the ratios (a(1))/(a(2)),(b(1))/(b(2)) and (c(1))/(c(2)) ...

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  10. On comparing the ratios (a(1))/(a(2)),(b(1))/(b(2)) and (c(1))/(c(2)) ...

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  11. Which of the following pairs of linear equations are consistent/ incon...

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  12. Which of the following pairs of linear equations are consistent/ incon...

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  13. Which of the following pairs of linear equations are consistent/ incon...

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  14. Which of the following pairs of linear equations are consistent/ incon...

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  15. Half of the prerimeter of a rectangular garden, whose length is 4 m mo...

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  16. Given the linear equation 2x+3y-8=0 write another linear equation in ...

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  17. Given the linear equation 2x+3y-8=0 write another linear equation in ...

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  18. Given the linear equation 2x+3y-8=0 write another linear equation in ...

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  19. Draw the graphs of the equations x-y+1=0" and "3x+2y-12=0. Determine t...

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