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When the origin is shifted to (1, -2) by...

When the origin is shifted to (1, -2) by translation of coordinate axes, the transformed coordinates of (3.-2) are `(alpha , beta)` If the axes are rotated about origin through an angle of `45^@` after the translation, then the transformed coordinates of `(alpha , beta)` are

A

`(sqrt2 , 0)`

B

`(0, sqrt2)`

C

`(-sqrt2, sqrt2 )`

D

`(sqrt2 , - sqrt2)`

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The correct Answer is:
D
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