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What is the point of contact that the tangent line y equals 2x touches the circle x square plus y square -8x -y plus 5 equals 0 showing work?
Wiki User
∙ 7y ago
If: y = 2x and x^2 +y^2 -8x -y +5 = 0
Then: x^2 +(2x)^2 -8x -2x +5 = 0
So: x^2 +4x^2 -8x -2x +5 = 0 => 5x^2 -10x +5 = 0
Divide all terms by 5: x^2 -2x +1 = 0
Factorize: (x-1)(x-1) = 0 => x = 1 and x also = 1
Therefore the tangent makes contact with the circle at (1, 2)
Wiki User
∙ 7y ago
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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.
A line that touches a circle?
Tangent
What is the tangent of a circle?
A tangent is a straight line that touches a circle's circumference at one point
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.
What is the straight line which touches the circumference in a circle?
It is the tangent of the circle
What does '' a tangent to a circle '' mean?
It is a straight line that touches the circle.
What is a straight line that just touches a circle in one place called?
A straight line touching a circle is called a tangent. The following is the image of a tangent to a circle with center C and radius AC. The tangent touches the circle at only one point - A. visit our page: balajidentalhospital .com
The point where the tangent line intersects a circle?
A tangent line touches the circumference of a circle at just one point but it does not intersect the circle.
A line that touches the circle at one point?
the answer is a Tangent.
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. ]
