If the axes are rotated through an angle of `45^@` in the anti clockwise direction then the equation of rectangular hyperbola `x^2 - y^2 = a^2` changes to

If the axes are rotated through an angle of 30^@ in the anti clockwise direction, then coordinates of point (4,-2sqrt3) with respect to new axes are

If the axes are rotated through an angle of 30^(@) in the clockwise direction, the point (4,-2 sqrt3) in the new system was formerly

If the axes are rotated through an angle 45^(0) in the anti-clockwise direction, the coordinates of (sqrt(2), - sqrt(2)) in the new system are

If the axes are rotated through an angle 180^(@) then the equation 2x-3y+4=0 becomes

If the axes are rotated through an angle of 30^(@) in the anti clockwise direction,then coordinates of point (4,-2sqrt(3)) with respect to new axes are

The line 2x-y = 5 turns about the point on it, whose ordinate and abscissae are equal through an angle of 45^@ in the anti-clockwise direction. Find the equation of the line in the new position.

If the axes are rotated through an angle of 45^(@) in the clockwise direction, the coordinates of a point in the new systeme are (0,-2) then its original coordinates are

If the axes are rotated through an angle of 45^(@) in the clockwise direction, the coordinates of a point in the new systeme are (0,-2) then its original coordinates are

The line 2x-y=5 turns about the point on it,whose ordinate and abscissae are thhough an angle of 45^(@) in the anti-clockwise direction. Find the equation of the line in the new position.