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Check whether the lines are representing 3x 5y 12=0 and 6x 10y 24=0 will coincide, intersect at a point or are parallel?
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Check whether the lines are representing 3x 5y 12=0 and 6x 10y 24=0 wi...
Analysis of Lines 3x+5y+12=0 and 6x+10y+24=0


Equation of Lines

The given equations of lines are:


  • 3x + 5y + 12 = 0

  • 6x + 10y + 24 = 0



Standard Form of Equation

Converting the given equations to the standard form of equation:


  • 3x + 5y = -12

  • 6x + 10y = -24



Ratio of Coefficients

Dividing the second equation by 2, we get:


  • 3x + 5y = -12

  • 3x + 5y = -12


On comparing the coefficients of x and y in both the equations, we get:


  • Ratio of coefficient of x: 3:3 = 1:1

  • Ratio of coefficient of y: 5:5 = 1:1



Conclusion

As the ratio of coefficients of x and y in both the equations is same, the lines are parallel to each other. Hence, they will not intersect and will never coincide.
Community Answer
Check whether the lines are representing 3x 5y 12=0 and 6x 10y 24=0 wi...
3x+5y+12= 0 and 6x+10y+24=0 will be coincide because here 3/6= 1/2,5/10=1/2 and 12/24=1/2
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Check whether the lines are representing 3x 5y 12=0 and 6x 10y 24=0 will coincide, intersect at a point or are parallel?
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