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

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=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 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 of 30^(@) in the clockwise direction, the point (4,-2 sqrt3) in the new system was formerly

A vector hati+sqrt(3)hatj rotates about its tail through an angle 60^(@) in clockwise direction then the new vector is

A line passing through point A(3,0) makes 30^(@) with the positive direction of x -axis.If this line is rotated at an angle of 45^(@) in clockwise direction,find its equation in new position.

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.