If the coordiantes of a point P are transformed to `(2,-4sqrt(3))` when the axes are rotated through an angle `60^(@)`, then P=

If the coordinates of a point P are transformed to (4,-3) when the axes are rotated through an angle of 135^(0) , then find P.

Find the transformed equation of x^(2)+2sqrt3 xy-y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0).

Write the new coordinates of the following point (0,5) when the axes are rotated through to an angle 30^0

Find the transformed equation of 3x^(2)+10xy +3y^(2) = 9 when the axes are rotated through an angle pi/4

The transformed equation of x^(2)+6xy+8y^(2)=10 when the axes are rotated through an angled pi//4 is

If the transferred equation of a curve is x^(2) + 2sqrt(3)xy - y^(2) = 2a^(2) when the axes are rotated through an angle 60^(@) , then the original equation of the curve is

If the transformed equation of a curve is 17x^(2) - 16xy + 17y^(2)=225 when the axes are rotated through an angle 45^(@) , then the original equation of the curve is

If the transformed equation of a curve is 17x^(2) - 16xy + 17y^(2)=225 when the axes are rotated through an angle 45^(@) , then the original equation of the curve is

The transformed equation of 3x^(2)+3y^(2)+2xy-2=0 when the coordinats axes are rotated through an angle of 45^(@) , is

The transformed equation of x cos alpha + y sin alpha = p when the axes are rotated through an angle alpha is