Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsPair of Linear Equations in Two VariablesConditions for solvabilityEasyLevel 60
0 reads0 ratings0 helpful

If (a_1/a_2 \ne b_1/b_2) then what will be the position of the lines?

Advertisement

Answer and explanation

Correct answer: Intersecting

For a pair of linear equations, if \(a_1/a_2 \ne b_1/b_2\), the two lines have different slopes. Hence, they intersect at exactly one point, and the pair has a unique solution. Parallel lines require \(a_1/a_2 = b_1/b_2 \ne c_1/c_2\). Exam tip: compare the coefficient ratios first to determine the position of the lines and the number of solutions.

Related tags

Linear EquationsRatio TestIntersecting LinesUnique SolutionSolvability Conditions

Frequently asked questions

What is the correct answer to this question?

Intersecting

Why is this the correct answer?

For a pair of linear equations, if \(a_1/a_2 \ne b_1/b_2\), the two lines have different slopes. Hence, they intersect at exactly one point, and the pair has a unique solution. Parallel lines require \(a_1/a_2 = b_1/b_2 \ne c_1/c_2\). Exam tip: compare the coefficient ratios first to determine the position of the lines and the number of solutions.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Conditions for solvability.

Was this question useful?

No ratings yetWrite a review / Rate this question

Student Reviews

No published reviews yet.

KEEP PRACTISING

10 more MCQs
  1. 1If both lines appear exactly at the same place on the graph, how many solutions will there be?
  2. 2If (a₁/a₂ ≠ b₁/b₂), how will two lines appear on the graph?
  3. 3How many solutions are there for (2x + 5y = 20) and (4x + 10y = 40)?
  4. 4Which pair of equations will give a unique solution?
  5. 5If a₁ = 4, b₁ = 6, c₁ = 10 and a₂ = 2, b₂ = 3, c₂ = 5, how will the lines be related?
  6. 6If a₁ = 6, b₁ = 9, c₁ = 12 and a₂ = 2, b₂ = 3, c₂ = 4, how will the lines be?
  7. 7If a₁ = 7, b₁ = 14, c₁ = 21 and a₂ = 1, b₂ = 2, c₂ = 3, how will the lines be?
  8. 8If the line \(3x+ay=24\) coincides with the line \(3x+4y=24\), what is the value of \(a\)?
  9. 9If the line \(4x+ay=20\) is coincident with the line \(2x+3y=10\), what is the value of \(a\)?
  10. 10What type of lines are 9x − 6y = 21 and 3x − 2y = 7?
Advertisement