$CATEGORY: Maths - TicTacLearn/3. Pair of linear equations in two variables/3. Pair of linear equations in two variables--Graphical Method of Solution of a pair of Linear Equations

//Multiple Choice

Why do the equations 6x - 3y and 2x -y \= -5 have no solution? {
~ Lines intersect
~ Lines are coincident
= Lines are parallel
~ Lines are undefined
}

For the equations 6x - 3y \= 15 and 2x -y \= -5; what is the ratio of the coefficients of x? {
= 6/2
~ 3/1
~ 2/6
~ -5/15
}

If the ratio of coefficients of x,y and the constant terms are equal, the equations represent\: {
~ Intersecting lines
= Coincident lines
~ Parallel lines
~ Undefined lines
}

Which of the following steps is incorrect in solving  6x - 3y \= 15 and 2x - y \= -5? {
= Comparing coefficients incorrectly
~ Graphing the lines accurately
~ Ignoring the constant term comparison
~ None of the above
}

The equations 4x - 2y \= 8 and 2x - y \= 4\: {
~ Have a unique solution
~ Have no solution
= Have infinite solutions
~ Cannot be solved
}

//True or False

Parallel lines represent equations with no solution. {T}

If the ratio of coefficients of xxx and yyy is equal, the lines must be parallel. {F}

Incorrect comparison of coefficients can lead to errors in finding solutions. {T}

Coincident lines have a unique solution. {F}

Constant terms do not affect whether equations have solutions. {F}



//Fill in the blanks

The ratio of coefficients for 6x -3y \= 15 and 2x - y \= -5 for x is\: {
= 6/2
~ -3/-1
~ 2/6
~ None of the above
}

If the lines are parallel, the pair of equations is _______. {
~ Consistent
= Inconsistent
~ Dependent
~ Independent
}

To test for solutions, compare the ratios of the coefficients of x,y, and ___. {
~ Slope
= Constant terms
~ Graph intercepts
~ Axes points
}

The graphical representation of  6x -3y and 2x-y \= -5 shows ___ lines. {
~ Intersecting
~ Coincident
= Parallel
~ Perpendicular
}

A pair of linear equations that has no solution is called _______. {
~ Consistent
= Inconsistent
~ Independent
~ None of the above
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:




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