Mathematics Form 2 -Chapter 7: Coordinates

Given the distance of point R(5, t) from the origin is 13 units. Find the value of t.

• 12

• $-$ 10

• 8

• 9

Where point E is located?

• $(\ 2\ ,\ 0\ )$

• $(\ 2\ ,\ 2\ )$

• $(\ 0\ ,\ 2\ )$

• $(\ 0\ ,\ 0\ )$

What is the distance between point      (2, 5)  and  $\left(-4,\ 5\right)$ ?

•  $3$ units

• $4$ units

• $5$ units

• $6$ units

The coordinates of point P are (3, 7). Given the distance of PQ is 5 units. State the possible coordinates of point Q.

• $\left(-3,\ 3\right)$
  

• $\left(-2,\ 7\right)$

• $\left(0,\ 2\right)$

• $\left(2,\ 4\right)$

In the diagram, Q is the midpoint of straight line PR. Find the coordinates of point Q.

• $\left(-1,\ -4\right)$

• $\left(-2,\ -6\right)$

• $\left(4,\ -1\right)$

• $\left(-6,\ -2\right)$

Point M(x, 2) is the midpoint of a straight line that connecting point P(-6, -4) and point Q(10, y). The values of x and y are

• $x=1,\ y=6$

• $x=2,\ y=4$

• $x=2,\ y=8$

• $x=4,\ y=10$

In the diagram, PQR is a right-angled triangle. The sides PQ and QR are parallel to the x-axis and y-axis respectively. The lenght of PQ = 4 units. Given M is the midpoint of PR, find the coordinates of point M.

• $\left(3,\ -4\right)$

• $\left(5,\ 5\right)$

• $\left(-5,\ -4\right)$

• $\left(10,\ 10\right)$

The diagram shows a rectangle drawn on a Cartesian Plane. M is the midpoint of QR. Find the coordinates of point S.

• $\left(-3,\ 1\right)$

• $\left(-4,\ 2\right)$

• $\left(-3,\ 2\right)$

• $\left(-4,\ 1\right)$

Which of the following points is furthest away from origin?

• $\left(-3,\ -4\right)$

• $\left(-4,\ 0\right)$

• $\left(4,\ 3\right)$

• $\left(-8,\ 0\right)$

Find the distance between the point  $\left(2,\ -3\right)$ and   $\left(-7,\ 9\right)$ . 

• 6 units

• 9 units

• 12 units

• 15 units