Question

Queston No 13
If the axes are rotated through an angle 45° in the
anti-clockwise direction, the coordinates of
(√2-√2)
in the new system are
1) (2,0)
2) (-2,0)
3) (0.2)
4) (0-2)​

Answer 1

Answer:

ANSWER

When axes are rotated through an angle θ, then co-ordinates are

x=xcosϕ−ysinϕ=

2

x

−

2

y

=

2

2

−

2

4

=1−2

2

y=xsinϕ+ycosϕ=

2

x

+

2

y

=

2

2

+

2

4

=1+2

2

∴ co-ordinates are (1−2

2

,1+2

2

)

Answer 2

Answer:

2) (-2,0) is the correct answer

Step-by-step explanation:

hope it helps you