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11. three dimension geometry Maths - 11. three dimension geometry

Gujarat Board (GSEB) - STD 12 Science - Maths (GSEB - English Medium). 291 questions in this chapter.

Question types

11. three dimension geometry question types

291 questions across 1 question group — pick any mix to generate a Maths paper with step-by-step answer keys.

291
Questions
1
Question groups
5
Question types
Sample Questions

11. three dimension geometry questions

One sample from each question group in this chapter. Select any group above to see the full set with answer keys.

Q 1M.C.Q (1 Marks)1 Mark
A vector $r $ is equally inclined with the co-ordinate axes. If the tip of $ r $ is in the positive octant and $ |r| = 6,$  then $r$ is
  • A
    $2\sqrt 3 (i - j + k)$
  • B
    $2\sqrt 3 ( - i + j + k)$
  • C
    $2\sqrt 3 (i + j - k)$
  • ✓
    $2\sqrt 3 (i + j + k)$

Answer: D.

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Q 2M.C.Q (1 Marks)1 Mark
Direction ratios of the normal to the plane passing through the points $(0, 1, 1), (1, 1, 2)$ and $(-1, 2, -2)$ are
  • A
    $(1, 1, 1)$
  • B
    $(2, 1, -1)$
  • C
    $(1, 2, -1)$
  • ✓
    $(1, -2, -1)$

Answer: D.

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Q 3M.C.Q (1 Marks)1 Mark
A line makes angles $\alpha ,\beta ,\gamma $ with the co-ordinate axes. If $\alpha + \beta = {90^o}$, then $\gamma = $ ......... $^o$
  • A
    $0$
  • ✓
    $90$
  • C
    $180$
  • D
    None of these

Answer: B.

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Q 4M.C.Q (1 Marks)1 Mark
If the sum of the squares of the distance of a point from the three co-ordinate axes be $36$,then its distance from the origin is
  • A
    $6$
  • ✓
    $3\sqrt 2 $
  • C
    $2\sqrt 3 $
  • D
    None of these

Answer: B.

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Q 5M.C.Q (1 Marks)1 Mark
If $x$ co-ordinates of a point $P$ of line joining the points $Q(2,\,2,\,1)$ and $R\,(5,\,2, - 2)$ is $4$, then the $z$ - coordinates of $P$ is
  • A
    $-2$
  • ✓
    $-1$
  • C
    $1$
  • D
    $2$

Answer: B.

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