Subjects coordinate geometry

Coordinates Points 1E0D98

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1. **Problem 8(i):** Find the coordinates of a point lying on the positive y-axis at a distance of 3 units from the x-axis. - Points on the y-axis have $x=0$. - Distance from x-axis is the absolute value of the y-coordinate. - Since the point is on the positive y-axis, $y=3$. **Answer:** $(0, 3)$ 2. **Problem 8(ii):** Find the coordinates of a point lying on the x-axis at a distance of 8 units from the y-axis. - Points on the x-axis have $y=0$. - Distance from y-axis is the absolute value of the x-coordinate. - The point can be either to the right or left of the y-axis, so $x=8$ or $x=-8$. **Answer:** $(8, 0)$ or $(-8, 0)$ 3. **Problem 8(iii):** Find the coordinates of a point right of origin and on the x-axis at a distance of 2 units. - On x-axis means $y=0$. - Right of origin means $x>0$. - Distance from origin is $|x|=2$, so $x=2$. **Answer:** $(2, 0)$