Ask a New Question

Question

x^2-10x+y^2=k is ta circle tangent to the y-axis for what real number k?
11 years ago

Answers

Reiny
complete the square to find the centre

x^2 -10x + 25 + y^2 = k + 25
(x-5)^2 + y^2= k+25
so the centre must be (5,0), which lies on the x-axis
to be tangent to the y-axis it must pass through (0.0)
and its radius must be 5

so the equation must be
(x-5)^2 + y^2 = 25
and k+25 must equal 25

so k = 0
11 years ago

Related Questions

7. Which philosophy did Tang rulers apply to govern their empire? A. Buddhism B. Confucianism C.... indicated that the Tang Dynasty had lost the Mandate of Heaven? In circle O, PA and PB are tangents. The figure is not drawn to scale. Image: www(dot)connexus(do... which of the following are tanglble features important to include in development of a service becau... in what way has the tang Dynasty affected life today During which period is the Tang Dynasty known as the golden age of China?(1 point) Responses 618... In summary, both the Tang and Song dynasties shared similarities in their bureaucratic structure, ro... Which invention during the Tang dynasty greatly improved printing and dissemination of literature?... Circle C is intersected by tangent lines GH and JH. The two tangent lines intersect each other at po... Circle C is intersected by tangent lines GH and JH. The two tangent lines intersect each other at po...
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use