A circle with centre O and radius r is drawn. Write coordinates of points where it meets the axes. Also write the equation of AC and BD. Find its radius also.
Answers
Answer:
This is a very simple question. First see the figure. Look carefully at the center O. Also, look at the points B, D, A and C.
The coordinates means x axis and the y axis.
Look at point D first. It meets the x-axis at 2 and you know that the value of y -axis on x-axis is 0. So ,the coordinate of point D is (2,0).
Similarly, the coordinate of B is (-2,0).
The coordinates of point A is (0,2), since the value of x- axis on y -axis is 0.
The coordinates of point C is ( 0,-2).
The circle meets the axes only at 4 points A,B,C and D. The coordinates of A (0,2), B(-2,0) , C(0,-2) , D( 2,0).
Equation of AC is x = 0 and equation of BD is y =0.
The radius of the circle is 2 units since the distance of point D, point A, point B and point C form the center is 2 units only.