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Standard XII

Mathematics

Family of Planes Passing through the Intersection of Two Planes

If 4x+4y-λ ...

Question

If $4 x + 4 y - λ z = 0$ is the equation of the plane through the origin that contains the line $\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z}{4}$ , find the value of $λ$ .

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Solution

If the plane $4 x + 4 y - λ z = 0$ contains the line $\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z}{4}$ , then
$2 \times 4 + 3 \times 4 - 4 \times λ = 0$
$20 - 4 λ = 0$
$λ = 5$

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Similar questions

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If 4x+4y−λz=0 is the equation of the plane through the origin that contains the line x−12=y+13=z4, find the value of λ.

If the plane 4x+4y−λz=0 contains the line x−12=y+13=z4, then 2×4+3×4−4×λ=020−4λ=0λ=5

If $4 x + 4 y - λ z = 0$ is the equation of the plane through the origin that contains the line $\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z}{4}$ , find the value of $λ$ .

If the plane $4 x + 4 y - λ z = 0$ contains the line $\frac{x - 1}{2} = \frac{y + 1}{3} = \frac{z}{4}$ , then
$2 \times 4 + 3 \times 4 - 4 \times λ = 0$
$20 - 4 λ = 0$
$λ = 5$