JEE MATHEMATICS MCQ: TRANSFORMATION OF AXES

1 Easy

1 of 1

Application +4 | -1

The coordinates axes are rotated through an angle

135^\circ

. If the coordinates of a point

P

in the new system are known to be

\left( {4,\; - 3} \right)

, then the coordinates of

P

in the original system are

View answer and explanation

Correct option: D

\left( { - \frac{1}{{\sqrt 2 }},\frac{7}{{\sqrt 2 }}} \right)

Option D

\left( { - \frac{1}{{\sqrt 2 }},\frac{7}{{\sqrt 2 }}} \right)

is correct because it represents the original coordinates of point P after rotating the axes by 135 degrees.

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