12 Questions
What is the highest degree of variables in a linear equation?
One
What is the general form of a linear equation in two variables?
ax + by + c = 0
What is a solution of a linear equation in two variables?
A pair of values x and y, which makes the two sides of the equation equal
What is a pair of linear equations in two variables?
When we study two linear equations at a time
Can you provide an example of a linear equation in two variables?
2x + 3y = 6 or x - 2y - 4 = 0
What are the two methods of solving a pair of linear equations in two variables?
Graphical Method and Algebraic Method
What is the purpose of studying a pair of linear equations in two variables?
To find the solution, which is a pair of values x and y, that satisfies both equations
What are the three possibilities that can arise when we graph two linear equations in two variables?
The two lines will intersect each other at one point, the two lines will not intersect each other (i.e., they are parallel), or the two lines will become coincident or overlapping.
What is the condition for two linear equations to be intersecting?
a1/a2 = b1/b2 = c1/c2
What is the condition for two linear equations to be parallel?
a1/a2 = b1/b2 ≠ c1/c2
What is the condition for two linear equations to be coincident?
a1/a2 = b1/b2 = c1/c2
What is the significance of a1/a2 ≠ b1/b2 ≠ c1/c2 in the ratio comparison method?
It means the equations have no solution or are inconsistent.
This quiz covers the basics of linear equations in two variables, including their definition, forms, and examples. It's a great review for Class 9 math students. Test your knowledge and solve problems on linear equations in two variables!
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