Q1. [1] § 7.1 Introduction
XOYZ is a rectangle with vertices $X(-3, 0)$, $O(0, 0)$, $Y(0, 4)$ and $Z(x, y)$. The length of its each diagonal is
- (A) $5$ units
- (B) $\sqrt{5}$ units
- (C) $x^2 + y^2$ units
- (D) $4$ units
Previously asked in CBSE board exam
2024 30/2/1 Q15
Generated by claude-sonnet-4-6 · 2026-06-15 10:28 · grounding rag
Model Answer
(A) 5 units
Diagonal XY: $\sqrt{(0-(-3))^2+(4-0)^2} = \sqrt{9+16} = \sqrt{25} = 5$ units.
Explanation
In a rectangle, both diagonals are equal. Using the distance formula between X(–3, 0) and Y(0, 4) gives 5 units. Option (A) is correct.
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