Home › Karnataka SSLC (Class 10) › Mathematics › Pair of Linear Equations in Two Variables › If the two lines of a pair of linear equations a…
If the two lines of a pair of linear equations are parallel, the pair has
Aa unique solution
Bno solution
Cinfinitely many solutions
Done solution
Answer & Solution
Correct answer: B. no solution
1. Parallel lines never meet, so there is no common point.
2. Hence the pair has **no solution** and is called inconsistent.
3. Their coefficients satisfy a₁/a₂ = b₁/b₂ ≠ c₁/c₂.
_Source: Karnataka SSLC (KSEEB) Class 10 Mathematics, Ch3 'Pair of Linear Equations in Two Variables', §3.2_
Related questions
If a pair of linear equations is inconsistent, the graph of the two equations will beThe sum of two numbers is 20 and their difference is 6. The larger number isFor what value of $k$ do the equations $2x+3y=7$ and $6x+9y=k$ have infinitely many solutiWhich of these is NOT an algebraic method of solving a pair of linear equations?Solving $x+y=14$ and $x-y=4$ givesThe pair of equations $x+2y=4$ and $2x+4y=12$ hasThe pair of equations $2x+3y=5$ and $4x+6y=10$ hasFor a pair of linear equations $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$, a unique solution