P 1-1-1 and Q- - - are two points in the space such that PQ-27- then the values of - can be

The correct option is B 2,4 The square of the distance between the 2 points is 3×(λ 1)^2 This has to be equal to 27 .Hence, λ 1 ...

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Standard XII

Mathematics

Distance Formula

P 1,1,1 and ...

Question

$P (1, 1, 1)$ and $Q (λ, λ, λ)$ are two points in the space such that $P Q = \sqrt{27}$ , then the value(s) of $λ$ can be

- 4

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- 2, 4

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4, 3

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Solution

The correct option is B $- 2, 4$
The square of the distance between the $2$ points is $3 \times {(λ - 1)}^{2}$
This has to be equal to $27$ .
Hence, $λ - 1$ $= 3, - 3$
$λ = - 2, 4$

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Similar questions

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P(1,1,1) and Q(λ,λ,λ) are two points in the space such that PQ=√27, then the value(s) of λ can be

The correct option is B −2,4The square of the distance between the 2 points is 3×(λ−1)2This has to be equal to 27.Hence, λ−1 =3,−3λ=−2,4

$P (1, 1, 1)$ and $Q (λ, λ, λ)$ are two points in the space such that $P Q = \sqrt{27}$ , then the value(s) of $λ$ can be

The correct option is B $- 2, 4$
The square of the distance between the $2$ points is $3 \times {(λ - 1)}^{2}$
This has to be equal to $27$ .
Hence, $λ - 1$ $= 3, - 3$
$λ = - 2, 4$