in the figure c (3,0) is the centre of the circles and radius of the circle is 5 units .write the coordinates of the points that the circle cuts the x axis , find the co ordinate of p
Question
in the figure c (3,0) is the centre of the circles and radius of the circle is 5 units .write the coordinates of the points that the circle cuts the x axis , find the co ordinate of p
Solution
The circle cuts the x-axis at points where y=0. The equation of a circle with center at (h, k) and radius r is (x-h)² + (y-k)² = r².
Given that the center of the circle C is at (3,0) and the radius is 5 units, the equation of the circle is (x-3)² + y² = 5².
To find the x-coordinates where the circle cuts the x-axis, we set y=0 in the equation of the circle:
(x-3)² + 0² = 5² (x-3)² = 25 x-3 = ±√25 x-3 = ±5 x = 3 ± 5
So, the circle cuts the x-axis at x = 3+5 = 8 and x = 3-5 = -2. Therefore, the coordinates of the points where the circle cuts the x-axis are (8,0) and (-2,0).
The coordinate of point P is not specified in the question. More information is needed to determine the coordinate of point P.
Similar Questions
Radius of circumcircle of a triangle ABC is units. If point P is equidistant from A (1, 3), B(-3, 5) and C(5,-1) then AP
(a) Find the equation of a circle with a radius of 5 units and its centre at the point (−1, 2).(b) What is the length of the intercept cut off by this circle on the x-axis?(c) Find the length of the tangent to this circle from the point (4, 6).
(a) Find the coordinates of the centre and the length of the radius for the circle x2 + y2 − 4x − 8y − 5 = 0.
Find the missing coordinate of P, using the fact that P lies on the unit circle in the given quadrant.Coordinates QuadrantP − 513,
Which of the following points lies outside the circle with center (0,0) and radius 5 ?A.(4.1, 1)B.(4, 2)C.(3.8, 3)D.(2, 5)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.