Q1. [1] § 7.1 Introduction § 7.2 Distance Formula § 7.4 Summary
In Question 19 and 20, an Assertion (A) statement is followed by a statement of Reason (R). Select the correct option. Assertion (A): Point P(0, 2) is the point of intersection of y-axis with the line $3x + 2y = 4$. Reason (R): The distance of point P(0, 2) from x-axis is 2 units.
- A Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- B Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
- C Assertion (A) is true but Reason (R) is false.
- D Assertion (A) is false but Reason (R) is true.
Previously asked in CBSE board exam
2023 30/1/1 Q19
Generated by claude-sonnet-4-6 · 2026-06-15 10:31 · grounding rag
Model Answer
Option (B)
Both A and R are true but R is not the correct explanation of A.
Verification of A: Put x = 0 in 3x + 2y = 4 → 2y = 4 → y = 2. So P(0, 2) lies on y-axis ✓
Verification of R: Distance of P(0, 2) from x-axis = y-coordinate = 2 units ✓
R is a fact about distance, not the reason why P lies on the line.
Explanation
- Check A by substituting x = 0 in the equation; check R using the definition from Section 7.1 ("distance of a point from the x-axis is called its y-coordinate").
- Both statements are independently true, but R explains a distance property, not the intersection condition — so it does not explain A. Hence option B.
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