$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

What does the graphical method involve? {
~ Solving equations algebraically
= Plotting equations as lines on a graph
~ Using substitution
~ None of the above
}

If two lines on a graph are coincident, the equations are\: {
= Dependent and consistent
~ Independent and inconsistent
~ Dependent and inconsistent
~ Independent and consistent
}

What is the solution for two lines that intersect at one point? {
~ No solution
= Unique solution
~ Infinite solutions
~ None of the above
}

Which of the following conditions makes two lines parallel? {
= Equal slopes and different intercepts
~ Unequal slopes
~ Equal slopes and equal intercepts
~ None of the above
}

What happens when you plot x + y \= 5; 2x + 2y \= 10? {
~ Lines are parallel
= Lines coincide
~ Lines intersect at one point
~ No lines are formed
}

//True or False

Parallel lines have no solution. {T}

The graphical method can be used to find solutions for quadratic equations. {F}

If two lines intersect at a point, the pair of equations is inconsistent. {F}

Dependent equations have infinite solutions. {T}

Consistent equations always represent coincident lines. {F}

//Numericals



//Fill in the blanks

A pair of linear equations represented by coincident lines has _______ solutions. {
~ One
~ No
= Infinite
~ Unique
}

When two lines on a graph intersect at one point, the pair of equations is _______. {
= Consistent
~ Inconsistent
~ Dependent
~ Parallel
}

In the graphical method, each linear equation is represented as a _______ on the graph. {
~ Curve
= Line
~ Point
~ Plane
}

Parallel lines on a graph indicate that the pair of equations is _______. {
~ Consistent
~ Dependent
= Inconsistent
~ Infinite
}

If two lines have the same slope but different y-intercepts, they are _______. {
~ Intersecting
~ Coincident
= Parallel
~ None of the above
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Coincident lines -> Represent dependent equations
=Parallel lines -> Lines that never intersect
=Intersecting lines -> Lines that meet at one point
=Consistent equations  -> Have at least one solution
=Inconsistent equations -> Represent parallel lines
}



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