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The line x = 1 + 5μ, y = −5 + μ, z = −6 − 3μ passes through which of the following point? - Mathematics

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Question

The line x = 1 + 5μ, y = −5 + μ, z = −6 − 3μ passes through which of the following point?

Options

  • (1, −5, 6)

  • (1, 5, 6)

  • (1, −5, −6)

  • (−1, −5, 6)

MCQ
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Solution

(1, −5, −6)

Explanation:

Given: x = 1 + 5μ, y = −5 + μ, z = −6 − 3μ

⇒ Equation of a line 

`(x - 1)/5 = (y + 5)/1 = (z + 6)/-3 = μ`

Passes points (1, −5, −6)

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