JEE Main 2017 · 9 Apr · Shift 1 · Mathematics Q78

← JEE Main 2017 · 9 Apr · Shift 1

MathematicsSingle correct+4 / -1Question 78 of 90

A square, of each side 2, lies above the $x$ -axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle 30° with the positive direction of the $x$ -axis, then the sum of the $x$ -coordinates of the vertices of the square is :

2\sqrt3-1

2\sqrt3-2

\sqrt3-2

\sqrt3-1

Answer and worked solution

Official answer: B

The vertices are $O(0,0)$ , $(2\cos30^\circ,2\sin30^\circ)=(\sqrt3,1)$ , $(2\cos120^\circ,2\sin120^\circ)=(-1,\sqrt3)$ and their sum $(\sqrt3-1,\sqrt3+1)$ . The x-coordinates add to $2\sqrt3-2$ .

Topics:Distance and section formulae

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JEE Main 2017 · 9 Apr · Shift 1, Mathematics question 78