If the axes are rotated through an angle `30^@,` the coordinates of `(2sqrt3, -3)` in the new system are

If the axes are rotated through an angle 45^(@) , the coordinates of (2sqrt(2), -3//sqrt(2)) in the new system are

(i) If the axes are rotated through an angle 30^(0) , then find the coordinates of (1,2) in the new system . (ii) If the axes are rotated through an angle 30^(0) , then find the coordinates of (-2, 4) in the new system. (iii) When the axes are rotated through an angle (pi)/(2) , find the new coordinates of the point (alpha, 0)

If the axes are rotated through an angle 30^(0) then find the coordinates of (-2,4) in the new system.

If the axes are rotated through an angle 30^(0) , then find the coordinates of (0, 5) in the new system.

The coordinate axes are rotated through an angle 135^(@) . If the coordinates of a point P in the new system are known to be (4,-3) , then the coordinates of P in the original system are

If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.

If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.

The coordinate axes are rotated the throughan angle 135^(0) . If the coordinates of a point P in the new system are known to be (4,-3) then the coordinates P in the original system are