Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesGeneral (Standard forms)Medium2 minQB

MathematicsMediumsingle choice

The points $(1, 0), (3, 0), (3, 5), (1, 4)$ are vertices of a quadrilateral. Find the line through the origin that divides it into two equal areas.

Answer:

Solution:

The area is 9. For $y = m x$ , the cut-off trapezium has area $\frac{1}{2} (m + 3 m) 2 = 4 m$ . Hence $4 m = 9/2$ , so $m = 9/8$ .

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

⏱ 2mℹ️ Source: QB

Loading discussions...