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How many tangents can be drawn from a single point?

Two tangents can be drawn from a point outside a circle to the circle. The answer for other curves depends on the curve.


What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a major arc whose measure is 243 and the minor arc measures 117?

63o. Join the points where the tangents touch the circle to its centre to form a quadrilateral (two meeting tangents and two radii). These angles are both 90o, summing to 180o. Thus the other two angles - the one at the centre of the circle and the one where the tangents meet - sum to 360o - 180o = 180o (they are supplementary). The centre angle is given as 117o (the minor arc), so the angle where the tangents met is 180o - 117o = 63o.


What is orthogonal trajectories?

Two curves which intersect at right angles, ( the angle between the two tangents to the curve) curves at the point of intersection are called orthogonal trajectories. The product of the slopes of the two tangents is -1.


What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a major arc whose measure is 200 degrees?

The angle between the two tangents is 20 degrees.


How do you Sketch and fully describe the locus of point two inches from a given point?

The locus of all points that are a given distance from a given point of origin is a circle.To draw this, use a compass set to 2in and centered on the point of origin. Graph paper is recommended.


How many tangents can be drawn to a circle containing a point outside the circle?

Any tangent must contain a point outside the circle. So the answer to the question, as stated, is infinitely many. However, if the question was how many tangents to a circle can be drawn from a point outside the circle, the answer is two.


How to measure the point at which two tangents intersect each other?

To measure the point at which two tangents intersect each other, find an equation for each tangent line and compute the intersection. The tangent is the slope of a curve at a point. Knowing that slope and the coordinates of that point, you can determine the equation of the tangent line using one of the forms of a line such as point-slope, point-point, point-intercept, etc. Do the same for the other tangent. Solve the two equations as a system of two equations in two unknowns and you will have the point of intersection.


How do you solve two tangents of circle?

That depends on what question you have been asked concerning the two tangents. All by itself, a circle with two tangents is quite content, and isn't looking for a solution.


What is the formula when solving for x when you have two tangents?

It depends on what x is and how the tangents are related to it.


What are the 2 ways of common external tangent from common internal tangent?

Common external tangents and common internal tangents are two types of tangents that can be drawn between two circles. Common external tangents touch each circle at one point without intersecting the line segment joining the circles' centers, while common internal tangents intersect this line segment. The key difference lies in their geometric relationship to the circles: external tangents do not pass between the circles, whereas internal tangents do. Each type can be determined based on the relative positions and sizes of the circles involved.


What information is given in a line graph?

It depends on the two (or more) variables that are plotted on the graph.


What is the relationship between 2 tangent lines meeting outside the circle?

When two tangent lines meet outside a circle, they create an external angle between them. The lengths of the segments from the points of tangency to the point where the tangents meet are equal, meaning the segments are equal in length. Additionally, the angle formed between the two tangents is equal to half the difference of the arcs that are intercepted by these tangents on the circle. This relationship illustrates the geometric properties that govern tangents and circles.