Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Hint : Equation of a plane passing through the line of intersection of the given planes is $2x-y+3z+5+\lambda (x+y+z-1)=0$ $\Rightarrow (2+\lambda )x-(1-\lambda )y+(3+\lambda )z+5-\lambda =0$ this will be perpendicular to the plane $2x-y+3z+5=0$ $\Rightarrow (2+\lambda )2+(1-\lambda )\times 1+3(3+\lambda )=0\Rightarrow \lambda =\frac{-7}{2}$ $\therefore$ Equation of plane $3x+9y+z=17$