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Coordinate Geometry
CH07 Question Bank
CBSE_CH07_QUESTION_BANK
Grade 10
Question:
Assertion (A): The area of a triangle with given coordinate vertices can be found using the formula $\dfrac12|x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)|$ as part of the current CBSE Class 10 syllabus. Reason (R): This formula is derived using the concept of coordinate geometry and was part of earlier versions of the syllabus.
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: Syllabus-awareness check: the formula itself is mathematically valid and was historically taught, but it is not part of the CURRENT syllabus.
This formula (and the topic 'Area of a Triangle' in coordinate geometry) has been removed from the current CBSE syllabus, so A is false. [0.5 Mark]
R correctly notes that it was part of earlier syllabi and is derived from coordinate geometry concepts, so R is true. [0.5 Mark]
Correct Answer:Assertion (A) is false, but Reason (R) is true.
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