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What is the point of contact when the line x -2y plus 12 equals 0 touches the circle x squared plus y squared -x -31 equals 0?
Wiki User
∙ 7y ago
Line equation: x-2y +12 = 0
Circle equation: x^2 +y^2 -x -31 = 0
Combine both equations together to form: 5y^2 -50y +125 = 0
Divide all terms by 5: y^5 -10y +25 = 0
Factorizing: (y-5)(y-5) = 0 => y = 5
Point of contact by substitution is at: (-2, 5)
Wiki User
∙ 7y ago
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What is the point of contact when the line y equals 2x plus 1.25 touches the curve y squared equals 10x?
Combine the equations together and using the quadratic equation formula it works out that the point of contact is at (5/8, 5/2)
If the area of a circle is 25 square units what is the radius of the circle?
area equals pi r squared therefor r squared equals area over pi. Now find square root of r squared and you have "R" (radius) = 2.821
What does pi numbers mean?
Pi (3.14) times the radius of a circle squared, equals the circumference of a circle.
What is area of a circle if circumference equals pi divided by 2?
Area of a circle is: pi times radius squared
How is pi used to determine the area of a circle?
Area of a circle equals pi (3.14) times the radius squared.
Where is the point of contact when the line y equals 2x plus 1.25 touches the curve y squared equals 10x?
If y = 2x +10 and y^2 = 10x then by forming a single quadratic equation and solving it the point of contact is made at (5/8, 5/2)
What is the point of contact when the line y equals 2x plus 1.25 touches the curve y squared equals 10x?
Combine the equations together and using the quadratic equation formula it works out that the point of contact is at (5/8, 5/2)
If the area of a circle is 25 square units what is the radius of the circle?
area equals pi r squared therefor r squared equals area over pi. Now find square root of r squared and you have "R" (radius) = 2.821
What does pi numbers mean?
Pi (3.14) times the radius of a circle squared, equals the circumference of a circle.
What is area of a circle if circumference equals pi divided by 2?
Area of a circle is: pi times radius squared
How is pi used to determine the area of a circle?
Area of a circle equals pi (3.14) times the radius squared.
How do you graph x squared plus y squared equals 36?
The graph is a circle with a radius of 6, centered at the origin.
How do you solve x squared plus y squared equals 13?
The equation describes a circle with its centre at the origin and radius = √13. Each and every point on that circle is a solution.
Is the area of a circle is twice the radius?
Area equals pi times the radius squared.
What is the domain of x squared plus y squared equals thirty six?
The graph is a circle with a radius of 6, centered at the origin
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 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)
