A circle is drawn with $(4,3)$ as the centre and radius 5 units. a What is the distance from the centre of the circle to the $x$-axis ? b Write the coordinates of the points where the circle cuts the $x$-axis.
Explanation
The distance from the centre of the circle to the x-axis is 3 units. This is because the centre of the circle is at the point (4,3), and the x-axis is 3 units below this point. To find the coordinates of the points where the circle cuts the x-axis, we need to find the points where the circle intersects the x-axis. Since the circle has a radius of 5 units, the points where it intersects the x-axis will be 5 units away from the centre of the circle. Therefore, the coordinates of the points where the circle cuts the x-axis are (4 + 5, 0) = (9, 0) and (4 - 5, 0) = (-1, 0).
⬆ Related Topic
📘 Syllabus
View STATE_KERALA Class 10 Syllabus →
📝 Practice Questions
Practice Previous Year Questions →
🤖 Practice with AI
Generate Practice Question Paper →