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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesGeneral (Standard forms)Medium2 minQB

MathematicsMediuminteger

A rhombus $A BC D$ has area 24, diagonal $B D$ on $4 x + 3 y + 2 = 0$ , and vertex $A = (3, 2)$ . Find its side length.

Answer:

Solution:

The distance from $A$ to $B D$ is $∣4 (3) + 3 (2) + 2∣/5 = 4$ , half of diagonal $A C$ . Since the area is $A C \cdot B D /2$ , half of $B D$ is 3. A rhombus side is therefore $4^{2} + 3^{2} = 5$ .

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:General (Standard forms)

⏱ 2mℹ️ Source: QB

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