Graphical method / consistencyPractice Questions & MCQs
Practice Graphical method / consistency questions from Pair of Linear Equations in Two Variables (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Graphical method / consistencyQuiz - Solve & Score
Q1. For what value of k does the pair 1x + 2y = 3 and 2x + ky = 7 have NO solution?
- A.-4
- B.4
- C.8
- D.5
Answer: B. 4
Given 1, 2, 3, 2, 7, asked for the unknown. By for a1x+b1y+c1=0, a2x+b2y+c2=0 compare a1/a2, b1/b2, c1/c2. for a1x+b1y+c1=0, a2x+b2y+c2=0 compare a1/a2, b1/b2, c1/c2 → unique solution iff a1/a2 != b1/b2, infinite iff all three ratios are equal, and no solution iff a1/a2 = b1/b2 != c1/c2 → hence the answer = 4. match the ratios with the given coefficients. Putting it together option B) 4. Others fail: option A) '-4' fails since Wrong: uses an incorrect intermediate value; option C) '8' misses the point - Wrong: a common multi-step slip gives this.
Q2. For what value of k does the pair 1x + 4y = 2 and 3x + ky = 7 have NO solution?
- A.12
- B.-12
- C.13
- D.24
Answer: A. 12
Given 1, 4, 2, 3, 7, asked for the unknown. By for a1x+b1y+c1=0, a2x+b2y+c2=0 compare a1/a2, b1/b2, c1/c2. for a1x+b1y+c1=0, a2x+b2y+c2=0 compare a1/a2, b1/b2, c1/c2 → unique solution iff a1/a2 != b1/b2, infinite iff all three ratios are equal, and no solution iff a1/a2 = b1/b2 != c1/c2 → hence the answer = 12. match the ratios with the given coefficients. Thus option A) 12. Others fail: option B) '-12' doesn't hold - Wrong: uses an incorrect intermediate value; option C) '13' misses the point - Wrong: a step was skipped or HCF/LCM swapped.
Q3. For what value of k does the pair 1x + 3y = 5 and 5x + ky = 26 have NO solution?
- A.30
- B.-15
- C.15
- D.16
Answer: C. 15
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Where can I practise Graphical method / consistency questions for Class 10 Maths?
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Are these Graphical method / consistency questions important for the exam?
Yes. These Graphical method / consistency important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
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