$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 a point of intersection of two lines on a graph satisfy? {
~ Only one equation
= Both equations
~ None of the equations
~ Infinite equations
}

If two lines coincide on a graph, then the pair of linear equations is\: {
= Consistent and dependent
~ Consistent and independent
~ Inconsistent and dependent
~ Inconsistent and independent
}

If two lines intersect at (2,-1), then this point represents\: {
= A solution to both equations
~ A solution to only one equation
~ A solution to neither equation
~ None of the above
}

Which of the following pairs of equations will represent parallel lines? {
~ x+y \= 4 and 2x + 2y \= 8
~ x+y \= 4 and x - y \= 6
= x+y \= 4 and x + y \= 6
~ x+y \= 4 and 2x + 2y \= 4
}

The graphical method represents each linear equation as a _______ on the graph. {
~ Curve
= Straight line
~ Circle
~ Parabola
}

//True or False

The graphical method of solving linear equations is based on plotting each equation as a straight line. {T}

Parallel lines on a graph have exactly one solution. {F}

Coincident lines represent an inconsistent pair of equations. {F}

Intersecting lines on a graph have a unique solution. {T}

In the graphical method, the slope of coincident lines is different. {F}

A solution to a pair of linear equations satisfies both equations simultaneously. {T}

//Numericals



//Fill in the blanks

The solution of two linear equations in two variables graphically is the _______ of the lines. {
~ Distance
~ Slope
= Intersection
~ Angle
}

The equations are inconsistent if the lines are _______ on the graph. {
~ Intersecting
~ Coincident
= Parallel
~ Perpendicular
}

Parallel lines on a graph represent an _______ pair of equations. {
~ Consistent
~ Dependent
= Inconsistent
~ Independent
}

A pair of linear equations with a unique solution is represented by _______ lines on a graph. {
= Intersecting
~ Parallel
~ Coincident
~ None of the above
}

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

When two lines coincide, the number of solutions is _______. {
~ One
~ None
= Infinite
~ Two
}

//Match the following

Match the following items from Column A with their correct corresponding options from Column B\:
{
=Intersecting lines -> Unique solution
=Coincident lines -> Infinite solution
=Parallel lines -> No solution
}



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