Question types

STD 11 - rectangular cartensian co-ordinates question types

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

312
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1
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5
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Sample Questions

STD 11 - rectangular cartensian co-ordinates questions

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

The points which trisect the line segment joining the points $(0, 0)$ and $(9, 12)$ are
  • $(3,4),\, (6,8)$
  • B
    $(4,3),\, (6,8)$
  • C
    $(4,3),\, (8,6)$
  • D
    $(3,4),\, (8,6)$

Answer: A.

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The mid-points of sides of a triangle are $(2, 1), \,(-1, -3)$ and $(4,5)$. Then the coordinates of its vertices are
  • $(7,\,9),\,( - 3,\, - 7),\,(1,\,1)$
  • B
    $( - 3,\, - 7),\,(1,\,1),\,(2,\,3)$
  • C
    $(1,\,1),\,(2,\,3),\,( - 5,\,8),$
  • D
    None of these

Answer: A.

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The coordinates of the join of trisection of the points $(-2, 3)$, $(3, -1)$ nearer to $(-2, 3)$, is
  • $\left( { - \frac{1}{3},\,\frac{5}{3}} \right)$
  • B
    $\left( {\frac{4}{3},\frac{1}{3}} \right)$
  • C
    $\left( { - \frac{3}{4},\,2} \right)$
  • D
    $\left( {\frac{1}{3},\,\frac{5}{3}} \right)$

Answer: A.

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The points of trisection of the line segment joining the points $(3, -2)$ and $(-3, -4)$ are
  • A
    $\left( {\frac{3}{2}, - \frac{5}{2}} \right)\,,\left( { - \frac{3}{2}, - \frac{{13}}{4}} \right)$
  • B
    $\left( { - \frac{3}{2},\frac{5}{2}} \right)\,,\left( {\frac{3}{2},\frac{{13}}{4}} \right)$
  • $\left( {1, - \frac{8}{3}} \right)\,,\left( { - 1, - \frac{{10}}{3}} \right)$
  • D
    None of these

Answer: C.

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