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What is the tangent line equation of the circle x2 plus y2 -8x -16y -209 equals 0 when it touches the circle at 21 8 on the Cartesian plane?
Equation of circle: x^2 +y^2 -8x -16y -209 = 0
Completing the squares: (x-4)^2 +(y-8)^2 = 289
Radius of circle: 17
Center of circle: (4, 8)
Point of contact: (21, 8)
Slope of radius: 0
Slope of tangent line: 0
Equation of tangent line: x = 21 which means it touches the circle at (21, 0) which is a straight vertical line parallel to the y axis
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.
A line that touches a circle?
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.
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 Cartesian equation of a circle whose centre is in the 1st quadrant with a radius of 7 and touches the x and y axes?
Centre of the circle is at (7, 7) and its Cartesian equation is (x-7)^2 + (y-7)^2 = 49
A line that touches a circle?
Tangent
How do you find the tangent of a circle?
a tangent is a line that touches the circle at only ONE point
What is the tangent of a circle?
A striaght line , outside the circle, that just touches the circle in one place.
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.
What does '' a tangent to a circle '' mean?
It is a straight line that touches the circle.
What is the straight line which touches the circumference in a circle?
It is the tangent of the circle
What is the tangent equation of the circle 2x squared plus 2y squared -8x -5y -1 that touches the point of 1 -1 on the Cartesian plane?
If you mean: 2x^2 +2y^2 -8x -5y -1 = 0 making contact at (1, -1) Then the tangent equation in its general form works out as: 4x+9y+5 = 0
A line that touches the circle at one point?
A tangent is a line that touches a circle at exactly one point. It is perpendicular to the radius at the point of contact.
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
