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JEE Main2003MathematicsStraight LinesActual

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 (0 < < 4 ) with the positive direction of x -axis. The equation of its diagonal not passing through the origin is

Options

  1. Ay( + )+x( - )=a
  2. By( - )-x( - )=a
  3. Cy ( + )+ x ( - )= a
  4. Dy( + )+x( + )=a

Correct answer

A. y( + )+x( - )=a

Step-by-step solution

Co-ordinates of A =(a , a ) Equation of OB , y = ( 4 + ) x CA r to OB slope of CA =- ( 4 +2 ) Equation of CA y - a =- ( 4 +2 )( x - a ) y ( + )+ x ( - )= a

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