A square, of each side 2 , lies above the x -axis and has one vertex at the origin. If one of the sides…

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:
  1. 23-2
  2. 3-2
  3. 23-1
  4. 3-1

Solution

For A,

xcos30°=ysin30°=2

⇒x=232= 3 and y=1

For C,

xcos120°=ysin120°=2

x=-1, y=3

For B,

xcos75°=ysin75°=22

x= 3-1, y=3+1

Sum of the x-coordinates =0+3+3-1+-1

=23-2

Asked in: JEE Main 2017 (09 Apr Online)

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