A square of side a lies above the x -axis and has one vertex at the origin. The side passing through the origin makes an angle α (0 < α < (π)/4) with the positive direction of x-axis. The equation of its diagonal not passing through the origin is:

(A) y(cos α + sin α) + x(cos α - sin α) = a

(B) y(cos α - sin α) - x(sin α - cos α) = a

(C) y(cos α + sin α) + x(sin α - cos α) = a

(D) y(cos α + sin α) + x(sin α + cos α) = a

Coordinate Geometry: JEE Main 2003 Mathematics question

JEE Main 2003 · Annual, Paper 1 · Q5593

JEE Main 2003Annual, Paper 1MathematicsHardCoordinate Geometry478× since 2002

A square of side a lies above the

x

-axis and has one vertex at the origin. The side passing through the origin makes an angle

\alpha \left( {0 < \alpha < {\pi \over 4}} \right)

with the positive direction of x-axis. The equation of its diagonal not passing through the origin is :

JEE Main 2003 · Annual, Paper 1 · Q5593

JEE Main 2003Annual, Paper 1MathematicsHardCoordinate Geometry478× since 2002

A square of side a lies above the

x

-axis and has one vertex at the origin. The side passing through the origin makes an angle

\alpha \left( {0 < \alpha < {\pi \over 4}} \right)

with the positive direction of x-axis. The equation of its diagonal not passing through the origin is :