alleryStart learning →A 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.
Uttarakhand Board Class 10 Pair of Linear Equations in Two Variables — practice questions
Explore 18 free Pair of Linear Equations in Two Variables questions in Uttarakhand Board Class 10 Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Pair of Linear Equations in Two Variables with Quill →Pair of Linear Equations in Two Variables questions and exercises with answers
Showing questions 1–18 of 18.
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 →For x − y = 1 and 2x − 2y = 2, how many solutions?Read the answer and worked solution →Solve 2x + 3y = 12 and x − y = 1.Read the answer and worked solution →Solve 4x + 3y = 11 and 3x − 4y = 2.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 →How many solutions does the pair have?Read the answer and worked solution →Which one does NOT belong?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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