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 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 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

Let the co-ordinates of the two points A&B be (1,2) and (7,5) respectively.The line AB is rotated through 45^(0) in anti clockwise direction about the point of trisection of AB which is nearer to B. The equation of the line in new position is: 2x-y-6=0 (b) x-y-1=03x-y-11=0 (d) None of these

The plane containing the line (x-3)/(2)=(y-1)/(4)=(z-2)/(5) is rotated through an angle (pi)/(2) about this line to contain the point (4,3,7). The equation of plane before rotation is

The plane x- y - z = 2 is rotated through an angle pi/2 about its line of intersection with the plane x + 2y + z = 2 . Find its equation in the new position.

The plane x-2y+3z=0 is rotated through a right angle about the line of intersection with the plane 2x+3y-4z-5=0, find the equation of the plane in its new position.

A line joining A(2,0) and B(3,1) is rotated about A .in anticlock wise direction through angle 15^(0) ,then the equation of AB in the 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.