EASY
10th CBSE
IMPORTANT
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Here, a1, b1, c1 and a2, b2, c2 denote the coefficients of linear equations given below. Complete the following table:

Pair of lines a1a2 b1b2 c1c2 Compare the ratio Graphical representation Algebraic interpretation
x-y+1=0
-x+y+1=0
           

Important Questions on Pair of Linear Equations in Two Variables

EASY
10th CBSE
IMPORTANT

Here, a1, b1, c1 and a2, b2, c2 denote the coefficients of linear equations given below. Complete the following table:

Pair of lines a1a2 b1b2 c1c2 Compare the ratio Graphical representation Algebraic interpretation
6x+9y=12
3x+3y=6
           
EASY
10th CBSE
IMPORTANT

Here, a1, b1, c1 and a2, b2, c2 denote the coefficients of linear equations given below. Complete the following table:

Pair of lines a1a2 b1b2 c1c2 Compare the ratio Graphical representation Algebraic interpretation
25x+7y=12
100x+28y=7
           
EASY
10th CBSE
IMPORTANT

If the graph of a pair of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0 is represented by two lines.

If the lines intersect at a point, then that point gives the solution of the two equations. In this case, the pair of equations is_____

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a1a2=_____

EASY
10th CBSE
IMPORTANT

If the graph of a pair of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0 is represented by two lines, then fill the following blanks:

If the lines coincide, then there are _____ solutions. Each point on the line being a solution. In this case, the pair of equation is _____

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=b1=c2

EASY
10th CBSE
IMPORTANT

If the graph of a pair of linear equations a1x+b1y+c1=0 and a2x+b2y+c2=0 is represented by two lines, then fill the following blanks:

If the lines are parallel, then the pair of equations has _____ solution. In the case, the pair of equations is _____

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MEDIUM
10th CBSE
IMPORTANT

If the area of the shaded region is k sq. units, then find the value of k.

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MEDIUM
10th CBSE
IMPORTANT

The area of ABC is k square unit. Find k.

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