If the axes are rotated through an angle of `45^@` in the anti clockwise direction then the equation of rectangular hyperbola `x^2 - y^2 = a^2` changes to

If the axes are rotated through an angle 180^(@) in the positive direction, the new coordinates of (x,y) are

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

If the axes are rotated through an angle 180^(@) then the equation 2x-3y+4=0 becomes

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 axes are rotated through an angle of 45^(@) in the clockwise direction, the coordinates of a point in the new systeme are (0,-2) then its original coordinates are

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.

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=

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

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