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What is the point of contact when the circles x2 plus y2 -6x plus 8y -75 equals 0 and x2 plus y2 -30x -24y plus 269 equals 0 touch each other?
1st circle: x^2 +y^2 -6x +8y -75 = 0
1st circle: center at (3, -4) and radius 10
2nd circle: x^2 +y^2 -30x -24y +269 = 0
2nd circle: center at (15, 12) and radius 10
Midpoint of (15, 12) and (3, -4): (9, 4) which is the point of contact
Proof: distance from (15, 12) to (9, 4) = 10
Proof: distance from (3, -4) to (9, 4) = 10
What else can I help you with?
What is the point of contact when the tangent line y equals x plus c touches the curve y equals 3x -x -5x squared?
-2
What is the point-slope equation of the line with a slope equals -4 and a point of -2 3?
Which of the following is the point-slope equation of the line with a slope equals -4 and a point of -2 3?
Given that de equals 2.4 df equals 18.5 and point e lies on df what is the length of ef?
16.1
10 to the negative 6 power equals?
it equals 0.000010 because the negative means the decimal point moves 6 spaces to the left
At what point is the line of y equals x -4 tangent to the curve of x squared plus y squared equals 8?
(2, -2)
What if two circles touch each other the one circle is inside the other?
The centres and the point of contact are all in a straight line, if the circle is inside or outside.
Can two circles be tangent at the same point?
If the two circles are tangent to each other,then it must be at the same point.
Are circles tangent when they meet at a single point?
Yes, circles that share one and only one point are tangent to each other.
Is the center of a circle the point of intersection for two concentric circles?
Concentric circles are the circles with the same center therefore they do not cross with each other as the "center is not considered a point on the circle". An exception would be two circles that are concentric and have the same radius, in which case the circles are indistinct and every point of the circles is an intersection.
What is the diffrerence between concentric and eccentric circles?
Concentric circles are circles that share the same center point, with each circle surrounding the other. Eccentric circles, on the other hand, do not share the same center point and are offset from each other. In simpler terms, concentric circles are like a target with multiple rings around a common center, while eccentric circles are like two circles that are not aligned at the same center point.
Can a tangent circle be concentric?
No; tangent circles touch each other at one point but concentric circles cannot not touch.
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)
What are Two circles with the same centre point called?
Concentric circles
What are coplanar circles that intersect in one point called?
Tangential circles.
What are berger dots?
there used in powerpoints and other presentations to highlight key points. See the filled in the circles below * point A * Point b * Point C
What is the value of c when y equals x plus c is a tangent to the curve y equals 3 -x -5x squared hence finding the point of contact of the line with the curve showing work?
-2
When are two coplanar circles concentric?
When the centers of both the circles are at the same point.
