Question

I can not understand this question . Please help me by solving this question .​

Answer 1

Step-by-step explanation:

The family of lines intersecting at the line of intersection is given by

    (4x + 5y - z -7)+λ(2x + 3y - 3z - 5) = 0

=> x(4 +2λ) +y(5+3λ) + z(-1 -3λ) +( -7-5λ) =0   -----------------------------(1)

The plane (1) is perpendicular to the plane , 4x + 5y - z -7 = 0

Therefore, 4(4 +2λ) + 5(5+3λ) +(1 +3λ) =0

           =>   16 + 8λ + 25 + 15λ + 1 +3λ = 0

           =>    λ = -21/13

By substituting the value of λ in (1) ,we get the equation of the required plane.