If the axes are rotated through an angle `theta` then the co-ordinates of a point P(x,y) are transformed as P'(X,Y) then X=,Y=

If the origin is shifted to (h,k) and the axes are rotated through an angle theta ,then the co-ordinates of a point P(x,y) are transformed as P(X,Y)=

If the origin is shifted to (h,k) by translation of axes . then the Co-ordinates of a point P(x,y) are transformed as P(x', y') = O P(x+h, y+k) O P(x-h, y-k) O P(x'– h, y' - k) O P(x' – h, y' +k)

The co-ordinates of a point P referred to a rectangular co-ordinate system where O is the origin are (1,-2). The axes are rotated about O through an angle theta. If the co-ordinates of P in the new system are (k-1,k+1), then k^(2) is equal

If the origin is shifted to (h,k) ,the coordinates of a point P(x,y) transformed to P(X,Y) then new co-ordinates are

If the axes are rotated through an angle theta in counter clockwise direction, the transformed equation of 4xy-3x^(2)=a^(2) is given by X^(2)-4Y^(2)=a^(2) then positive integer value of tan theta=

if the axes are rotated through 60 in the anticlockwise sense,find the transformed form of the equation x^(2)-y^(2)=a^(2)