JEE Main 20179 AprilOnline
- Exam
- JEE Main
- Year
- 2017
- Date
- 9 April
- Mode
- Online
- Subject
- Mathematics
- Chapter
- Straight Lines
JEE Main 2017 · 9 April · Online · Mathematics · Straight Lines
A square, of each side 2 , lies above the x -axis and has one...
A square, of each side , lies above the -axis and has one vertex at the origin. If one of the sides passing through the origin makes an angle with the positive direction of the -axis , then the sum of the -coordinates of the vertices of the square is:
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
For
\dfrac{x}{\cos 30 °} = \dfrac{y}{\sin 30 °} = 2
and
For
\dfrac{x}{\cos 120 °} = \dfrac{y}{\sin 120 °} = 2
For
\dfrac{x}{\cos 75 °} = \dfrac{y}{\sin 75 °} = 2\sqrt{2}
,
Sum of the -coordinates