If coordinate axes are rotated by `135^@` then coordinate of P in new system is (4, -3), then coordinate of point P is :

On rotating coordinate axes at 135^(@) ,the new coordinate of a points P are (4,-3). Former coordinate of P are

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

The origin is shifted to (2,3) by the translation of axes. If a point P has changed as (i) (4, -3), find the coordinates of P in the original system. (ii) (4, 5), find the coordinates of P in the original 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

If the coordinates of a point P changes to (2,-6) when the coordinate axes are rotated through an angle of 135^(@) , then the coordinates of P in the original 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^(@), the coordinates of (2sqrt(3),-3) in the new system are