$A (1,2) B (2,3) C (3,4)$ are given points. Out of the following which is true ?
- A$AC + BC = AB$
- ✓$AB + BC = AC$
- C$C$ is a midpoint of $\overline{ AB }$.
- DA, B, C are not collinear
Answer: B.
View full solution →Question types
Coordinate Geometry question types
71 questions across 6 question groups — pick any mix to generate a Maths paper with step-by-step answer keys.
71
Questions
6
Question groups
5
Question types
01
M.C.Q (1 Marks)
3 Q→02Fill In The Blanks[1 Marks ]
23 Q→03True False[1 Marks ]
14 Q→041 Marks Question
9 Q→052 Marks Questions
13 Q→063 Marks Question
9 Q→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 the coordinates of the midpoint $P$ of the line segment joining $x$ and $y$ is $(-2,3)$ then which is true ?
- A$x(-4,3), y(2,2)$
- B$x(0,2), y(-2,2)$
- ✓$x(-6,2), y(2,4)$
- D$x(-4,-2), y(0,4)$
Answer: C.
View full solution →For $\square A B C D$, which group is true?
| 1 | ◻ ABCD is a rhombus | (a) | AC and BD bisect |
| 2 | ◻ ABCD is a parallelogram | (b) | AC and BD bisect at right angle. |
| 3 | ◻ ABCD is a rectangle | (c) | AC and BD are congruent and bisect at right angle. |
| 4 | ◻ ABCD is a square | (d) | AC and BD are congruent and bisect at right angle. |
- A$(1-c),(2-d)(3-a)(4-b)$
- ✓$(1- b ),(2- a )(3- d )(4- c )$
- C$(1- b ),(2- c )(3- d )(4- a )$
- D$(1- d ),(2- a )(3- b )(4- c )$
Answer: B.
View full solution →The perimeter of the triangle with vertices $(0,4)(0,0)$ and $(3,0)$ is __________ units. $(8, 12, 15)$
View full solution →The point which divides the line segment joining the points $A(4,-1)$ and $B(-2,-3)$ in the ratio $1: 2$ lies in __________ quadrant (first, third, fourth)
View full solution →The centroid of the triangle with vertices $(3,2)(7,5)$ and $(2,1)$ is __________ $\left(\left(2, \frac{8}{3}\right),\left(3, \frac{8}{3}\right),\left(4, \frac{8}{3}\right)\right)$
View full solution →The distance between the points $(-5,8)$ and $(-2,-6)$ is __________ $(\sqrt{205}, \sqrt{502}, \sqrt{42})$
View full solution →$A (0,0), B (0,0)$ and $C (5,0)$ are given points. Then $BC =$ __________ $(5,25, \sqrt{5})$
View full solution →The circumcenter of a right angle triangle is the midpoint of the hypotenuse.
The coordinates of the origin is $(0,0)$
View full solution →The distance between the points $(2,3)$ and $(4,1)$ is $2 \sqrt{2}$.
View full solution →The midpoint of the line segment joining $A (8,-3), B (-3,5)$ is $(5,4)$.
View full solution →$A = B$ if and only if $d( A , B )=0$.
View full solution →Find the ratio in which the line segment joining the points $(-3, 10)$ and $(6, -8)$ is divided by $(-1, 6).$
View full solution →Find the area of the rhombus if its vertices are $(3, 0), (4, 5), (-1, 4)$ and $(-2, -1)$ taken in order.
[Hint: Area of a rhombus $=\frac{1}{2}$ (product of its diagonals)]
View full solution →[Hint: Area of a rhombus $=\frac{1}{2}$ (product of its diagonals)]
Find the coordinates of the point which divides the join of $(-1, 7)$ and $(4, -3)$ in the ratio $2 : 3$.
View full solution →Find the distance between the pair of points $(a, b), (-a, -b)$
View full solution →Find the distance between the pair of points $(-5, 7), (-1, 3)$
View full solution →If $A$ and $B$ are $(-2, -2)$ and $(2, -4)$ respectively, find the coordinates of $P$ such that $AP =$ $\frac{3}{7}$ $AB$ and $P$ lies on the line segment $AB$.
View full solution →Find the coordinates of a point $A$, where $AB$ is the diameter of a circle whose centre is $(2, -3)$ and $B$ is $(1, 4)$.
View full solution →If $(1, 2), (4, y), (x, 6)$ and $(3, 5)$ are the vertices of a parallelogram taken in order, find $x$ and $y$.
View full solution →Find the ratio in which the segment joining $A(1, -5)$ and $B(-4, 5)$ is divided by the $x$-axis. Also find the coordinates of the point of division.
View full solution →If $Q(0, 1)$ is equidistant from $P(5, -3)$ and $R(x, 6)$, find the values of $x$. Also find the distances $QR$ and $PR$.
View full solution →Find the point on the x-axis which is equidistant from $(2, -5)$ and $(-2, 9).$
View full solution →Name the type of quadrilateral formed, if any, by the points $(4,5),(7,6),(4,3),(1,2)$, and give a reason for your answer.
View full solution →Name the type of quadrilateral formed, if any, by the points $(-3,5),(3,1),(0,3),(-1,-4)$, and give a reason for your answer.
View full solution →Name the type of quadrilateral formed, if any, by the points $(-1,-2),(1,0),(-1,2),(-3,0)$, and give a reason for your answer.
View full solution →Find the distance between the points $(0,0)$ and $(36,15)$. Can you now find the distance between the two towns $A$ and $B$ discussed in Section $7.2.$
View full solution →Generate a Coordinate Geometry paper free
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