Class 10 Math: Pair of Linear Equations in Two Variables Important Exam Questions
Preparing for school exams or final CBSE boards requires practicing questions patterned after official grading schemes. We have compiled a list of crucial questions for Class 10 Pair of Linear Equations in Two Variables to help you test your mastery.
Exam-Pattern Questions and Answers
Question 1 (EASY)
- Option 1: intersecting
- Option 2: parallel
- Option 3: coincident
- Option 4: either intersecting or parallel
Solution Explanation & Steps: (c) coincident Given equations can be rewrite as: 2x - 5y - 6 = 0 6x - 15y - 18 = 0 1 2 2 1 6 3 a a = = , 1 2 5 1 15 3 b b -= =- and 1 2 6 1 18 3 c c -= =- Therefore, the pair of equations has infinitely many solutions. Graphically pair of linear equations represent coincident.
Question 2 (EASY)
- Option 1: Option A
- Option 2: Option B
- Option 3: Option C
- Option 4: Option D
Solution Explanation & Steps: (a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A) For reason: By midpoint theorem, the line joining the mid points of two sides of a triangle is parallel to the third side and equal to half of it. So, reason is also true. SECTION - B Questions 21 to 25 carry 2 marks each.
Question 3 (MEDIUM)
This is a descriptive problem. Work out all steps on paper before checking the solution.
Solution Explanation & Steps: wer. Ans. Given system of linear equations: 7x - 2y = 5 ...(i) 8x + 7y = 15 ...(ii) Multiplying eq (i) by 7 and eq (ii) by 2 then adding, we get 65x = 65 ⇒ x = 1 Substituting value of x is eq (i) we get 7(1) - 2y = 5 ⇒ 7 - 2y = 5 ⇒ -2y = -2 or, y = 1 Therefore, x = 1 and y = 1
Grading Step-Marking Guidelines
Remember that teachers award partial marks for writing down formulas, stating the given variables, and drawing diagrams. Never leave a question blank on an exam. Write down the relevant formulas and initial substitution steps to secure partial credits.