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What are the lengths of the tangent lines from the origin to the circle x squared plus y squared -6y plus 4x plus 10 equals 0 on the coordinated grid?
Tangents stem from the origin: (0, 0)
Circle equation: x^2 +y^2 -6x +4y +10 = 0
Completing the squares: (x+2)^2 +(y-3)^2 -4 -9 +10 = 0
So: (x+2)^2 +(y-3)^2 = 3 which is the radius squared
Centre of circle: (-2, 3)
Distance from (-2, 3) to (0, 0) = 13 which is distance squared
Lengths of tangents using Pythagoras: 13-3 = 10 => square root of 10
Take note that the distance from (-2, 3) to (0, 0) is actually the hypotenuse of a right angle triangle.
What else can I help you with?
Tangent of a circle is what?
A tangent of a circle is a straight line that touches the circle at only one point.
Lines that appear to be tangent are tangent . O is the center of the circle . What is the value of x?
To determine the value of ( x ), you would typically need additional information such as the lengths of the tangent segments, angles, or equations related to the circle. If you provide the specific details or a diagram related to the problem, I can help you find the value of ( x ).
What are the possible value of k when the line y equals x plus k is a tangent to the circle x squared plus y squared equals 25?
They are +/- 5*sqrt(2)
Where is the tangent secant angle on a circle?
The tangent secant angle is the angle between the tangent to a circle and the secant, when the latter is extended.
How do you find the tangent of a circle?
a tangent is a line that touches the circle at only ONE point
Tangent of a circle is what?
A tangent of a circle is a straight line that touches the circle at only one point.
What is the Tangent Line to Circle Theorem?
The Tangent Line to Circle Theorem states that a line is tangent to a circle if and only if it's perpendicular to the circle's radius.
Lines that appear to be tangent are tangent . O is the center of the circle . What is the value of x?
To determine the value of ( x ), you would typically need additional information such as the lengths of the tangent segments, angles, or equations related to the circle. If you provide the specific details or a diagram related to the problem, I can help you find the value of ( x ).
What is the equation of the tangent line that touches the circle x squared plus y squared -8x -16y -209 equals 0 at a coordinate of 21 and 8?
Circle equation: x^2 +y^2 -8x -16y -209 = 0 Completing the squares: (x-4)^2 +(y-8)^2 = 289 Centre of circle: (4, 8) Radius of circle 17 Slope of radius: 0 Perpendicular tangent slope: 0 Tangent point of contact: (21, 8) Tangent equation: x = 21 passing through (21, 0)
What is the tangent equation that touches the circle of x squared plus y squared -8x -y plus 5 equals 0 at the point of 1 2 on the Cartesian plane showing work?
Equation of circle: x^2 +y^2 -8x -y +5 = 0Completing the squares: (x-4)^2 +(y-0.5)^2 = 11.25Centre of circle: (4, 0.5)Slope of radius: -1/2Slope of tangent: 2Equation of tangent: y-2 = 2(x-1) => y = 2xNote that the above proves the tangent of a circle is always at right angles to its radius
What are the possible value of k when the line y equals x plus k is a tangent to the circle x squared plus y squared equals 25?
They are +/- 5*sqrt(2)
A line that intersects a circle at exactly one point?
Such a line is called a tangent line or a tangent to the circle. [Tangent is Latin for touching-- a tangent line touches the circle at just one point. ]
Where is the tangent secant angle on a circle?
The tangent secant angle is the angle between the tangent to a circle and the secant, when the latter is extended.
How many tangents can be drawn to a circle containing a point inside a circle?
No tangent No tangent
How do you find the tangent of a circle?
a tangent is a line that touches the circle at only ONE point
Definition of tangent in a circle?
A tangent to a circle is a line from a point outside the circles which touches the circle at a single point.
How can you recognize a tangent of a circle?
A tangent of a circle is a straight line that touches the circle's circumference at just one point.
