standard equations of circles that have centers on line 5x-2y=-21 and are tangent to both axis.
Any ideas??

First express the line as in point slope form
y=(5/2)x - 21/2
The center must be on the line, so it is a point expressed as
(x,(5/2)x - 21/2)
In order for the circle to be tangent to both axis the center must be the same distance from both axis, so
x=y or x=(5/2)x - 21/2 solve for x
The standard equation for the circle is
You should be able to determine a,b and r.

After review, I don't know if I suggested how to find all the solutions.
You need to look at |x|=|y| or
|x|=|5/2)x - 21/2|
There should be one more solution to the question.

Thanks for all your help...

  1. 👍
  2. 👎
  3. 👁

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis, and a tangent line to the graph of y = (x+1)^-2

  2. calculus

    Notice that the curve given by the parametric equations x=25−t^2 y=t^3−16t is symmetric about the x-axis. (If t gives us the point (x,y),then −t will give (x,−y)). At which x value is the tangent to this curve horizontal?


    Four circles of unit radius are drawn with centers (0,1), (-1,0), (0,1), and (0,-1). A circle with radius 2 is drawn with the origin as its center. What is the area of all points which are contained in an odd number of these 5

  4. calculus

    Determine whether the graph of the equation is symmetric with respect to the x-axis, y-axis, line y=x, line y=-x, or none of these. x+y=6 Do I have to move the y and 6 to the other side of the equations or does it not matter?

  1. MATHS

    Two circles of radii 5 cm and 12 cm are drawn, partly overlapping. Their centers are 13cm apart. Find the area common to the two circles.

  2. Math

    Three identical circles are tangent to each other externally. if the area of the curvilinear formed by the point of tangency of the three circles is 142 cm2, compute the radius of each circle.

  3. geometry

    True or false Tangent circles always have exactly one common tangent.

  4. geometry

    Three circles are externally tangent to one another. The radius of each of the circles is 2 cm. A belt fits tightly around the three circles. Find the length of the belt. Express your answer in terms of pi with an explanation.

  1. Trigonometry

    Two circles, whose radii are 12 inches and 16 inches respectively, intersect. The angle between the tangents at either of the points of intersection is 29'30'. Find the distance between the centers of the circles.


    Find the value of x. If necessary, round your answer to the nearest tenth. The figure is not drawn to scale. {THe figure is a circle with a tangent crossing through the top section of the circle. The value of the tangent is 12.

  3. math

    Two circles of radius 4 are tangent to the graph of y^2=4x at the point (1,2). Find the equation of these two circles.

  4. calculus

    Find the maximum area of a triangle formed in the first quadrant by the 𝑥-axis, 𝑦-axis and a tangent line to the graph of 𝑦=(𝑥+3)^(−2)

You can view more similar questions or ask a new question.