If the angle between the planes 2 x - y - z -4 and x - y -2 z -11 is -3- then the values of - areA- -1-17B- -1-17C- 1-17D- 1-17

lf the angle $θ$ between the line $\frac{x + 1}{1} = \frac{y - 1}{2} = \frac{z - 2}{2}$ and the plane $2 x - y + \sqrt{λ} z + 4 =$ $0$ is such that $sin θ = \frac{1}{3}$ , then value of $λ$ is

Q. If the angle

θ

between the line

\frac{x + 1}{1} = \frac{y - 1}{2} = \frac{z - 2}{2}

and the plane

2 x - y + \sqrt{λ} z + 4 = 0

is such that

sin θ = \frac{1}{3}

, then value of

λ

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If the angle between the planes 2x−y+z=4 and x+λy+2z=11 is π3, then the values of λ are

The correct option is C 1, -17 ¯¯¯¯¯n1=2i−k+k,¯¯¯¯¯n2=i+λj+2k cosπ3 =¯¯¯¯¯n1.¯¯¯¯¯n2|n1||n2| ⇒λ2+16λ−17=0 ⇒λ=−17,1

If the angle between the planes $2 x - y + z = 4$ and $x + λ y + 2 z = 11$ is $\frac{π}{3}$ , then the values of $λ$ are

The correct option is C
1, -17

$_{1} = 2 i - k + k,_{2} = i + λ j + 2 k$

$c o s \frac{π}{3}$ = $\frac{_{1} ._{2}}{| n_{1} | | n_{2} |}$ $\Rightarrow λ^{2} + 16 λ - 17 = 0$ $\Rightarrow λ = - 17, 1$