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

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

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

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.

The plane x-y-z=4 is rotated through an angle 90^(@) about its line of intersection with the plane x+y+2z=4 . Then the equation of the plane in its new position is

A point (2,2) undergoes reflection in the x . axis and then the coordinate axe are rotated through an angle of (pi)/(4) in anticlockwise direction.The final position of the point in the new coordinate system is

A point (1,1) undergoes reflection in the x-axis and then the cordinates axes are rotated through an angle of (pi)/(4) in anticlockwise direction.The final position of the point in the new coordinate system is

The line joining two points A(2,0) and B(3,1) is rotated about A in anticlockwise direction through an angle of 15^(@). find the equation of line in the new position.If b goes to c in the new position what will be the coordinates of C.