Question types

Co-ordinate Geometry question types

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

273
Questions
4
Question groups
5
Question types
Sample Questions

Co-ordinate Geometry questions

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

If the line segment joining the points $(3, -4)$ and $(1, 2)$ is trisected at points $P(a, -2)$ and $\text{Q}\Big(\frac{5}{3},\text{b}\Big).$ Then,
  • A
    $\text{a}=\frac{8}{3},\text{b}=\frac{2}{3}$
  • $\text{a}=\frac{7}{3},\text{b}=0$
  • C
    $\text{a}=\frac{1}{3},\text{b}=1$
  • D
    $\text{a}=\frac{2}{3},\text{b}=\frac{1}{3}$

Answer: B.

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The coordinates of the fourth vertex of the rectangle formed by the points $(0, 0), (2, 0), (0, 3)$ are,
  • A
    $(3, 0)$
  • B
    $(0, 2)$
  • $(-2, 3)$
  • D
    $(3, 2)$

Answer: C.

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A line segment is of length $10$ units. If the coordinates of its one end are $(2, -3)$ and the abscissa of the other end is $10$, then its ordinate is:
  • A
    $9, 6$
  • $3, -9$
  • C
    $-3, 9$
  • D
    $9, -6$

Answer: B.

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Q 113 Marks Question3 Marks
The area of a triangle is $5sq$ units. Two of its vertices are $(2, 1)$ and $(3, -2)$. If the third vertex is $\Big(\frac{7}{2},\text{y}\Big),$ find the value of y.
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Q 133 Marks Question3 Marks
In the seating arrangement of desks in a classroom three students Rohini, Sandhya and Bina are seated at A(3, 1), B(6, 4) and C(8, 6). Do you think they are seated in a line?
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The points $A(2, 9), B(a, 5)$ and $C(5, 5)$ are the vertices of a triangle $ABC$ right angled at $B$. Find the values of a and hence the area of $\triangle\text{ABC}.$
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