alleryA pair of linear equations in two variables that has no solution is called:
- inconsistent
- consistent
- unique
- dependent
Show answer and solution
Correct answer: A. inconsistent
A pair with no solution is inconsistent.
Kerala SSLC (Class 10) Linear Equations in One Variable — practice questions
Explore 37 free Linear Equations in One Variable questions in Kerala SSLC (Class 10) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 1–30 of 37.
A pair of linear equations in two variables that has no solution is called:Read the answer and worked solution →A pair of linear equations that has at least one solution is called:Read the answer and worked solution →If the two lines representing a pair of linear equations intersect at one point, the pair has:Read the answer and worked solution →If the two lines are parallel and never meet, the pair of equations has:Read the answer and worked solution →If the two lines are coincident (lie on top of each other), the pair has:Read the answer and worked solution →The graph of a linear equation in two variables is always a:Read the answer and worked solution →A dependent pair of linear equations is always:Read the answer and worked solution →For the pair a₁x+b₁y+c₁=0 and a₂x+b₂y+c₂=0, a unique solution exists when:Read the answer and worked solution →The condition $\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}$ corresponds to lines that are:Read the answer and worked solution →Which of the following is an algebraic method to solve a pair of linear equations?Read the answer and worked solution →The solution of a consistent pair of linear equations corresponds graphically to:Read the answer and worked solution →Solving x + y = 5 and x − y = 1 gives:Read the answer and worked solution →How many solutions does the system 2x + 3y = 5, 4x + 6y = 11 have?Read the answer and worked solution →For x − y = 1 and 2x − 2y = 2, how many solutions?Read the answer and worked solution →Which system has a unique solution?Read the answer and worked solution →A pair of equations is called inconsistent when:Read the answer and worked solution →Find the value of k so that kx + 3y = 7 and 4x + 6y = 14 represent coincident lines.Read the answer and worked solution →Solve by substitution: x + y = 10, x − y = 4.Read the answer and worked solution →Solve by elimination: 3x + 4y = 11 and 5x − 4y = 5.Read the answer and worked solution →Solve 2x + 3y = 12 and x − y = 1.Read the answer and worked solution →Find x and y in 5x − 7y = 2 and 7x − 5y = 22.Read the answer and worked solution →Solve 4x + 3y = 11 and 3x − 4y = 2.Read the answer and worked solution →A pair of equations gives a single solution iff:Read the answer and worked solution →The sum of two numbers is 25 and their difference is 5. Find them.Read the answer and worked solution →A father is 30 years older than his son. After 5 years the father will be three times as old as the son. Find their present ages.Read the answer and worked solution →Solve 1/x + 1/y = 1/3 and 1/x − 1/y = 1/12.Read the answer and worked solution →Five years ago A was thrice as old as B. Ten years later A will be twice as old as B. Find their present ages.Read the answer and worked solution →A two-digit number has digits whose sum is 9. Reversing the digits decreases the number by 27. Find the number.Read the answer and worked solution →Two linear equations in x, y have a unique solution when:Read the answer and worked solution →In the elimination method we:Read the answer and worked solution →
Worked practice questions
A pair of linear equations that has at least one solution is called:
- empty
- consistent
- undefined
- inconsistent
Show answer and solution
Correct answer: B. consistent
A pair with at least one solution is consistent.
If the two lines representing a pair of linear equations intersect at one point, the pair has:
- infinitely many solutions
- no solution
- a unique solution
- exactly two solutions
Show answer and solution
Correct answer: C. a unique solution
Intersecting lines meet at one point — a unique solution.
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