A diagrammatic illustration of two distinct lines l and m perpendicular to the same line n is shown below
As seen above, l and m are opposite each other, and will never intersect. Therefore, the lines l and m are parallel to each other.
Find the equation of the circle with center (10, 0) and point (5, 2).
1 answer:
Answer:
(x - 10)² + y² = 29
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k) = (10, 0), thus
(x - 10)² + (y - 0)² = r²
The radius is the distance from the centre to a point on the circle
Calculate r using the distance formula
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (10, 0) and (x₂, y₂ ) = (5, 2)
r =
=
= =
Thus
(x - 10)² + (y - 0)² = ( )², that is
(x - 10)² + y² = 29 ← equation of circle
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