The line passing through `(7,3), (5,1)` meets the x-axis at P. If the line is rotated through an angle `30^@` in the anti clockwise direction about P then the slope of its new position is

If z=sqrt(2)- isqrt(2) si rotated through an angle 45^(@) in the anti-clockwise direction about the origin, then the co-ordianates of its new position are

The line 2x-y=3 is rotated through an angle (pi)/(4) in anticlockwise direction about the point (2,1) ,then equation of line in its new position

The line 3x-4y+7=0 is rotated through an angle (pi)/(4) in the clockwise direction about the point (-1,1). The equation of the line in its new position is

The line 3x - 4y + 7 = 0 is rotated through an angle pi/4 in the clockwise direction about the point (-1, 1) . The equation of the line in its new position is

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 anti clockwise direction,then coordinates of point (4,-2sqrt(3)) with respect to new axes are

If the line x-y-2=0 is rotated through an angle (pi)/(12) in the clockwise direction about point P(5,3) and equation of line in new position is x-sqrt(3)y+k=0 ,then k is

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

A line passing through the point A(3,0) makes 30^0 angle with the positive direction of x- axis . If this line is rotated through an angle of 15^0 in clockwise direction, find its equation in new position.