A square with each side equal to ' a ' above the x-axis and has one vertex at the origin. One of the sides passing through the origin makes an angle \alpha (0< \alpha< \frac{\pi}{4}) with the positive direction of the axis. Equation of the diagonals of the square

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

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

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

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

WBJEE 2024 Math Paper

Question : 72 of 75

Marks: +1, -0

A square with each side equal to ' a ' above the x-axis and has one vertex at the origin. One of the sides passing through the origin makes an angle α(0<α<‌

) with the positive direction of the axis. Equation of the diagonals of the square

‌y(cos‌α−sin‌α)=x(sin‌α+cos‌α)
‌y(cos‌α+sin‌α)=x(cos‌α−sin‌α)
‌y(sin‌α+cos‌α)+x(cos‌α−sin‌α)=a
‌y(cos‌α−sin‌α)+x(cos‌α+sin‌α)=a

Validate

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