Find the transformed equation of 3x^(2...

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

Verified by Experts

The correct Answer is:

`8x^2-2y^2=9`.

Similar Questions

Explore conceptually related problems

Find the transformed equation of 4xy-3x^(2) = a^(2) when the axes are rotated through an angle Tan^(-1) 2.

Find the transformed equation of x^(2) + 2 sqrt(3) xy - y^(2) = 2a^(2) when the axes are rotated through an angle 30^(0)

The transformed equation of x^(2) + y^(2) =a^(2) when the axes are rotated through an angle 18^(@) is

The transformed equation of x^(2) + y^(2) =r^(2) when the axes are rotated through an angle 36^(@) is

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

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

The transformed equation of x^(2) + 4xy + y^(2) - 2x +2y-6=0 when the axes are rotated through an anlge pi//4 is

The transformed equation of 9x^(2) + 2sqrt(3)xy + 7y^(2)=10 when the axes are rotated through an angle pi//6 is