Question

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Answer 1

Step-by-step explanation:

1. consistent

2. consistent

3. inconsistent

4. graphical method and algebraic method

5.point

Answer 2

Answer:

1 consistent

STATEMENT - 1 : If the lines intersect at a point, then that point gives the unique solution of the two equations. In this case, the pair of equations is consistent.

2 Assertion is incorrect but Reason is correct

If the pair of lines are coincident, then it has an infinite number of solutions. Thus, the assertion is false.

If the given pair of lines are parallel, then the pair of equations is inconsistent and it has no solution. Thus, the reason is correct.

Hence, option D is correct.

3 Therefore, the pair of equations has no solution. If two lines are parallel then, they have no solution pair of linear equations is inconsistent; If two lines are coincident then, they have infinite solution and pair of linear equations is consistent; ... Thus the two lines come to intersect at a point (a, b)

4 There are following types of algebraic methods to solve a pair of linear equations: Substitution Method. Elimination Method. Cross-Multiplication Method.

5 Solution of a linear equation in two variables: Every solution of the equation is a point on the line representing it. Each solution (x, y) of a linear equation in two variables, ax + by + c = 0, corresponds to a point on the line representing the equation, and vice versa.

Step-by-step explanation:

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