alleryA pair of equations gives a single solution iff:
Aall ratios equal
Ba₁/a₂ = c₁/c₂
Ca₁/a₂ = b₁/b₂
Da₁/a₂ ≠ b₁/b₂
Answer & Solution
Correct answer: D. a₁/a₂ ≠ b₁/b₂
Unique solution corresponds to non-parallel lines, which happens when the coefficient ratios of x and y differ: a₁/a₂ ≠ b₁/b₂.
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.