If: y = 2x then y^2 = 4x^2
If: x^2 +y^2 -8x -y +5 = 0 then x^2 +4x^2 -8x -2x +5 = 0
Collecting like terms: 5x^2 -10x +5 = 0
Dividing all terms by 5: x^2 -2x +1 = 0
Factorizing the above: (x -1)(x -1) = 0 meaning x = 1
By substitution into the original equation contact is made at: (1, 2)
A tangent is a line that just touches a curve at a single point and its gradient equals the rate of change of the curve at that point.
It is a straight line that touches the curve such that the line is perpendicular to the radius of the curve at the point of contact.
Usually a straight line that touches a curve at one point. At the point of contact, the tangent is perpendicular to the radius of curvature.
A tangent is an object, like a line, which touches a curve. The tangent only touches the curve at one point. That point is called the point of tangency. The tangent does not intersect (pass through) the curve.
In geometry a straight line that touches a curve is called a tangent.
A tangent is a line that just touches a curve at a single point and its gradient equals the rate of change of the curve at that point.
It is a straight line that touches the curve such that the line is perpendicular to the radius of the curve at the point of contact.
Usually a straight line that touches a curve at one point. At the point of contact, the tangent is perpendicular to the radius of curvature.
A tangent is a line which touches, but does not cross, a curved line.
A tangent is an object, like a line, which touches a curve. The tangent only touches the curve at one point. That point is called the point of tangency. The tangent does not intersect (pass through) the curve.
-2
A tangent line touches a curve or the circumference of a circle at just one point.
It is the point at which a tangent touches a curve.
In geometry a straight line that touches a curve is called a tangent.
A tangent line.
tangent
tangent