The line $$x/3+y/3=1$$ meets the $$y-and$$ $$x-axis$$ at A and B, respectively. A square ABCD is constructed on the line segment AB way from the origin. The coordinates of the vertex of the square farthest from the origin are

Question

The line $$x/3+y/3=1$$ meets the $$y-and$$ $$x-axis$$ at A and B, respectively. A square ABCD is constructed on the line segment AB way from the origin. The coordinates of the vertex of the square farthest from the origin are

Infinity Learn · Accepted Answer

The coordinates of  A are $$0$$,$$4$$ and those of B are $$3$$,$$0$$ $$BC=AB=32+42=5or$$ $$BL=BCsin$$θ and $$CL=BCcos$$θor $$BL=5$$×$$35=3CL=5$$×$$35=3Similarly$$, $$MD=4$$ and $$AM=3$$. so, the coordinates of  C are $$OB+BL$$,CL≡$$7$$,$$3$$ and those of D are MD,$$OA+AM$$≡$$4$$,$$7$$. The coordinates of the vertex farthest from the origin are $$4$$,$$7$$.

The line $x / 3 + y / 3 = 1$ meets the y-and x-axis at A and B, respectively. A square $ABCD$ is constructed on the line segment AB way from the origin. The coordinates of the vertex of the square farthest from the origin are

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The line x/3+y/3=1 meets the y-and x-axis at A and B, respectively. A square ABCD is constructed on the line segment AB way from the origin. The coordinates of the vertex of the square farthest from the origin are

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Ready to Test Your Skills?

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The line $x / 3 + y / 3 = 1$ meets the y-and x-axis at A and B, respectively. A square $ABCD$ is constructed on the line segment AB way from the origin. The coordinates of the vertex of the square farthest from the origin are