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Pair of Linear Equations in Two Variables
CH03 Question Bank
CBSE_CH03_QUESTION_BANK
Grade 10
Question:
Assertion (A): The cross-multiplication method is used to solve a pair of linear equations in the current CBSE Class 10 syllabus. Reason (R): The cross-multiplication method provides direct formulas for $x$ and $y$ in terms of the coefficients of the two equations.
Both Assertion (A) and Reason (R) are true, and R is the correct explanation of A. Both Assertion (A) and Reason (R) are true, but R is NOT the correct explanation of A. Assertion (A) is true, but Reason (R) is false. Assertion (A) is false, but Reason (R) is true.
Step-by-Step Solution
Key Concept: The cross-multiplication method has been removed from the current syllabus, even though the method itself (as a mathematical technique) does what R describes.
The cross-multiplication method has been deleted from the current CBSE syllabus — only graphical, substitution, and elimination methods are prescribed — so A is false. [0.5 Mark]
R is a factually correct general description of what the cross-multiplication method does (it is simply no longer part of the syllabus), so R is true. [0.5 Mark]
Correct Answer:Assertion (A) is false, but Reason (R) is true.
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