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 (0< \alpha< \frac{\pi}{4}) with the positive direction of x-axis. The equation of its diagonal not passing through the origin is [AIEEE 2003]

Correct Answer is : y(cosα+sinα)+x(cosα−sinα)=a

y(\cos \alpha+ \sin \alpha)+x(\cos \alpha- \sin \alpha)=a

y(\cos \alpha- \sin \alpha)-x( \sin \alpha-\cos \alpha)=a

y(\cos \alpha+ \sin \alpha)+x( \sin \alpha-\cos \alpha)=a

y(\cos \alpha+ \sin \alpha)+x( \sin \alpha+\cos \alpha)=a

AIEEE 2003 Math Solved Paper

Section: Mathematics

Question : 14 of 66

Marks: +1, -0

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<‌

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

[AIEEE 2003]

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