The condition $\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}$ corresponds to lines that are:
Aintersecting (unique solution)
Bperpendicular
Cparallel (no solution)
Dcoincident (infinite solutions)
Answer & Solution
Correct answer: C. parallel (no solution)
a₁/a₂ = b₁/b₂ ≠ c₁/c₂ gives parallel lines and no solution.
Keep practising Linear Equations in One Variable
Browse all Linear Equations in One Variable questions for Andhra Pradesh SSC (Class 10), or explore more Mathematics topics.
Related questions
CLASS10 · Mathematics · Linear Equations — ConsistencyIn the elimination method we:Two linear equations in x, y have a unique solution when:A two-digit number has digits whose sum is 9. Reversing the digits decreases the number byFive years ago A was thrice as old as B. Ten years later A will be twice as old as B. FindSolve 1/x + 1/y = 1/3 and 1/x − 1/y = 1/12.A father is 30 years older than his son. After 5 years the father will be three times as oThe sum of two numbers is 25 and their difference is 5. Find them.