Point A(9,12) rotates around the origin O in a plane through `60^(@)` in the anticlockwise direction to a new position B. Find the coordinates of the point B.

If a point A(6,8) rotates through an angle 90^o about the origin in the anticlockwise direction ,find the new position of A.

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

If O is the origin, O P=3 with direction ratios -1,2,a n d-2, then find the coordinates of Pdot

The point (4, 1) undergoes the following three transformations successively: (a) Reflection about the line y = x (b) Translation through a distance 2 units along the positive direction of the x-axis. (c) Rotation through an angle pi/4 about the origin in the anti clockwise direction. The final position of the point is given by the co-ordinates.

If a line joining two points (3,0) and (5,2) is rotated about the point (3,0) in counter clockwise direction through an angle 15^@ , Then find the equation of the line in the new position.

If line joining two points (3, 0 ) and (5,2) is rotated about the point (3,0) in counter clockwise direction through an angle 15^@ , then the equation of the line in the new position .

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.

The foot of the perpendicular drawn from the origin to a plane is (1,2,-3)dot Find the equation of the plane. or If O is the origin and the coordinates of P is (1,2,-3), then find the equation of the plane passing through P and perpendicular to O Pdot

If the pair of lines sqrt(3)x^2-4x y+sqrt(3)y^2=0 is rotated about the origin by pi/6 in the anticlockwise sense, then find the equation of the pair in the new position.