Question types

Coordinate Geometry question types

170 questions across 4 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.

170
Questions
4
Question groups
5
Question types
Sample Questions

Coordinate Geometry questions

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

If A(4, 2), B(6, 5) and C(1, 4) be the verteces of $\triangle\text{ABC}$ and AD is a median, then the coordinates of D are:
  • A
    $\Big(\frac{5}{2},3\Big)$
  • B
    $\Big(5,\frac{7}{2}\Big)$
  • $\Big(\frac{7}{2},\frac{9}{2}\Big)$
  • D
    $\text{none of these}$

Answer: C.

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If the points A(2, 3), B(5 , k) and C(6, 7) are collinear then:
  • A
    $\text{k}=4$
  • $\text{k}=6$
  • C
    $\text{k}=\frac{-3}{2}$
  • D
    $\text{k}=\frac{11}{4}$

Answer: B.

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Two vertices of $\triangle\text{ABC}$ are A(-1, 4) and B(5, 2) and its centroid is G(0, -3). Then, the coordinates of C are:
  • A
    (4, 3)
  • B
    (4, 15)
  • (-4, -15)
  • D
    (-15, -4)

Answer: C.

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If A(-1, 0), B(5, -2) and C(8, 2) are the vertices of a $\triangle\text{ABC}$ then its centroid is:
  • A
    (12, 0)
  • B
    (6, 0)
  • C
    (0, 6)
  • (4, 0)

Answer: D.

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In the given figure P(5, -3) and Q(3, y) are the points of teisection of the line segment joining A(7, -2) and B(1, -5). Then y equals:
  • A
    $2$
  • B
    $4$
  • $-4$
  • D
    $\frac{-5}{2}$

Answer: C.

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If the coordinates of points A and B are (-2, -2) and (2, -4) respectively, find the coordinates of the points P such that $\text{AP}=\frac{3}{7}\text{AB},$ where P lies on the line segment AB.
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Q 153 Marks Question3 Marks
ABCD is a rectangle formed by points A(-1, -1), B(-1, 4), C(5, 4) and D(5, -1). If P, Q, R and S be the midpoints of AB, BC, CD and DA respectively, show that PQRS is a rhombus.
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