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Distance of the point (α, β, γ) from y-axis is ____________. - Mathematics

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Question

Distance of the point (α, β, γ) from y-axis is ____________.

Options

  • β

  • |β|

  • |b| + |γ|

  • `sqrt("a"^2 + γ^2)`

MCQ
Fill in the Blanks
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Solution

Distance of the point (α, β, γ) from y-axis is `sqrt("a"^2 + γ^2)`.

Explanation:

The given point is (α, β, γ) 

Any point on y-axis = (0, β, 0)

∴ Required distance = `sqrt((alpha - 0)^2 + (beta - beta)^2 + (γ - 0)^2)`

= `sqrt(alpha^2 + γ^2)`

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Chapter 11: Three Dimensional Geometry - Exercise [Page 237]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 11 Three Dimensional Geometry
Exercise | Q 29 | Page 237

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