Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

If $P_1=0$ and $P_2=0$ are the equations of two planes, then the equation $P_1+\lambda P_2=0$ will represent the equation of family of planes passing through the line of intersection of planes $P_1=0$ and $P_2=0$ for different values of $\lambda$. If the plane $x+y=1$ is rotated about the line of intersection with the plane $z=0$ through an angle of $\frac{\pi }{4}$, then the equation of new plane is