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The line  meets the -axis and -axis at  and , respectively. A square  is constructed on the line segment  away from the origin. The coordinates of the vertex of the square farthest from the origin are

a)

(7, 3)

b)

(4, 7)

c)

(6, 4)

d)

(3, 8)


Question ID - 53534 | Toppr Answer

The line  meets the -axis and -axis at  and , respectively. A square  is constructed on the line segment  away from the origin. The coordinates of the vertex of the square farthest from the origin are

a)

(7, 3)

b)

(4, 7)

c)

(6, 4)

d)

(3, 8)

1 Answer - 5876 Votes

3537

Answer Key : (b) -

(b)

The coordinates of  are (0,4) and those of  are (3,0)

 and 

Similarly,  and . So, the coordinates of  are  and those of  are

The coordinates of the vertex farthest from the origin is (4, 7)



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