Question

4. Find the number of solutions if two lines are y= 10 and y = -12
(a) a unique solution(intersecting )
(b) exactly two solutions
(c) infinitely many solutions(coincident)
(d) no solution(parallel lines)

2) Find the number of solutions if two lines are x = 5 and x = 5
(a) a unique solution(intersecting )
(b) exactly two solutions
(c) infinitely many solutions(coincident)
(d) no solution(parallel lines)​

Answer 1

Explanation:

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

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.

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.