Equation-equations of the planes bisecting the angles between the planes a 1 x - b 1 y - c 1 z - d 1-0 and a 2 x - b 2 y - c 2 z - d 2-0 is given bya1 x-b1 y-c1 z-d1-a12-b12-c12-a2 x-b2 y-c2 z-d2-a22-b22-c22B- a1 x-b1 y-c1 z-d1-a12-b12-c12-a2 x-b2 y-c2 z-d2-a22-b22-c22a1 x-b1 y-c1 z-d1-a12-b12-c12-a2 x-b2 y-c2 z-d2-a22-b22-c22D- None of these

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Equation/equations of the planes bisecting the angles between the planes $a_{1} x + b_{1} y + c_{1} z + d_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} z + d_{2} = 0$ is given by -

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None of these

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a_{1} x + b_{1} y + c_{1} z = 0 . . . (1),

a_{2} x + b_{2} y + c_{2} z = 0 . . . (2),

a_{3} x + b_{3} y + c_{3} z = 0 . . . (3)

A = ∣ ∣ ∣ ∣ \begin{matrix} a_{1} & b_{1} & c_{1} a_{2} & b_{2} & c_{2} a_{3} & b_{3} & a_{3} \end{matrix} ∣ ∣ ∣ ∣ \neq 0,

a_{1} x + b_{1} y + c_{1} z = 0, a_{2} x + b_{2} y + c_{2} z = 0

a_{3} x + b_{3} y + c_{3} z = 0

Angle between two planes $a_{1} x + b_{1} x + c_{1} x + d_{1} = 0 & a_{2} x + b_{2} x + c_{2} x + d_{2} = 0$ is given by -

a_{1} x + b_{1} y + c_{1} = 0, a_{1} x + b_{1} y + d_{1} = 0

a_{2} x + b_{2} y + c_{2} = 0, a_{2} x + b_{2} y + d_{2} = 0

\frac{(d_{1} - c_{1}) (d_{2} - c_{2})}{a_{1} b_{2} - a_{2} b_{1}}

a_{1} x + b_{1} y + c_{1} z = 0

a_{2} x + b_{2} y + c_{2} z = 0

a_{3} x + b_{3} y + c_{3} z = 0

i f ∣ ∣ ∣ ∣ \begin{matrix} a_{1} & b_{1} & c_{1} a_{2} & b_{2} & c_{3} a_{3} & b_{3} & c_{3} \end{matrix} ∣ ∣ ∣ ∣ = 0,

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