If the lines represented by `x^(2)-2pxy-y^(2)=0` are rotated abouu the origin through ann angle `theta`, one clockwise direction and other in anti-clockwise direction, then the equationn of the bisectors of the angle between the lines in the new position is

If the lines represented by x^(2)-2pxy-y^(2)=0 are rotated about the origin through an angle theta , one clockwise direction and other in anti-clockwise direction, then the equation of the bisectors of the angle between the lines in the new position is

If the lines represented by x^2-2pxy-y^2=0 are rotated about the origin through an angle theta , one clockwise direction and other in anti-clockwise direction, then the equation of the bisectors of the angle between the lines in the new position is

If the lines represented by x ^(2) - 2hxy - y ^(2) =0 are rotated about (0,0) through an angle alpha one in clockwise direaction and the other in the counter clockwise direction, then the combined equation of the bisectors of the angle between the lines thus obtained is

If the lines represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , one in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is

If the lines represented by the equation 3y^2-x^2+2sqrt3x-3=0 are rotated about the point (sqrt3,0) through an angle of 15^@ , one is clockwise direction and other in anticlokwise direction so that they become perpendicualr, then equation of the pair of lines in the new possition is

If the represented by the equation 3y^2-x^2+2sqrt(3)x-3=0 are rotated about the point (sqrt(3),0) through an angle of 15^0 , one in clockwise direction and the other in anticlockwise direction, so that they become perpendicular, then the equation of the pair of lines in the new position is

The point represented by the complex number 2-i is rotated about origin through on angle pi/2 the clockwise direction, the new position of the point is

The point represented by the complex nuber (2-i) is rotated about origin through an angle (pi)/(2) in the clockwise direction, the new position of point is

If a line joining two points A(2,0) and B(3,1) is rotated about A in anti-clockwise direction 15^@ , then the equation of the line in the new position is

The point represented by the complex number (2-i) is rotated about origin through an angle of pi/2 in clockwise direction. The new position of the point will be-