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one side of a square makes an angle A with x-axis and one vertex of the square is at the origin.prove that the equations of its diagonals are x(sinA+cosA)=y(cosA-sinA) and x(cosA-sinA)+y(sinA+cosA)=a,where a is the length of the side of the square.

one side of a square makes an angle A with x-axis and one vertex of the square is at the origin.prove that the equations of its diagonals are x(sinA+cosA)=y(cosA-sinA) and x(cosA-sinA)+y(sinA+cosA)=a,where a is the length of the side of the square.
 

Grade:12

1 Answers

Saurabh Koranglekar
askIITians Faculty 10335 Points
4 years ago
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