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 solvabilityMedium
0 reads0 ratings0 helpful

What type of pair is (11x+4y=18) and (5x+2y=9)?

Answer and explanation

Correct answer: Consistent and independent

For the given equations, \\(a_1/a_2=11/5\\) and \\(b_1/b_2=4/2=2\\). Since \\(11/5 \ne 2\\), the two lines intersect at one point and the pair has a unique solution. Therefore, it is a consistent and independent pair. For a consistent dependent pair, all three ratios are equal. Exam tip: Compare \\(a_1/a_2\\) and \\(b_1/b_2\\) first; if they are unequal, there is exactly one solution.

Related tags

Pair Of Linear EquationsConsistent IndependentUnique SolutionConditions For SolvabilityIntersecting LinesPair Of Linear Equations In Two VariablesMathematicsClass 10 Mcq
सुधार सुझाएँ / Earn

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?
Found an issue? Help improve this questionMy reports and replies

Add Muft Shiksha to your Home Screen

In Safari, tap Share, then Add to Home Screen.