The point 4,1 undergoes the following three transformations successivly a) reflection about the line y=x b) transformation through a - Maths - Straight Lines

Question

The point 4,1 undergoes the following three transformations
successivly
a) reflection about the line y=x
b) transformation through a dist 2units along the +ve direction of
the x-axis
c)rotation through an angle 45 deg about the origin in d
anticlockwise direction the final position of the point is given by
the coordinates?

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

New position of point 4,1 after reflection in y=x is 1,4 
After translation it will be 1+2 , 4 = 3,4After rotation at 45° anticlock wise it will be 3 cos 45°-4 sin 45° , 3 sin 45°+4 cos 45°=32-42 , 32+42=-12 , 72   ANS
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