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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.
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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.
What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a minor arc whose measure is 80 degrees?
100 degrees
What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a minor arc whose measure is 150 degrees?
Assuming the measure of the arc refers to the angle at the centre of the circle, the answer is 180 - 150 = 30 degrees.
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.
What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a minor arc whose measure is 80 degrees?
100 degrees
What is the measure of the angle formed by two tangents drawn to a circle from an external point if they intersect a minor arc whose measure is 150 degrees?
Assuming the measure of the arc refers to the angle at the centre of the circle, the answer is 180 - 150 = 30 degrees.
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.
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.
Why two streamlines can not intersect with each other?
Streamlines represent the instantaneous direction of the flow at a specific point in a fluid. If two streamlines were to intersect, it would imply that at that particular point in the flow, the fluid is simultaneously moving in two different directions, which is physically impossible. Therefore, streamlines must remain distinct and non-intersecting.
What is the measure of angle ABC?
two lines intersect at point b which is also end point of two rays
Tangent fc and secant eb intersect at point d the point of tangency what is the measure of fdb?
45
If the rays do not intersect at one point what does this indicate?
If the rays do not intersect at one point, it indicates that they are either parallel or diverging from each other. In geometry, parallel lines do not intersect at any point, while diverging lines move away from each other indefinitely.
Number of tangents drawn from an external point to a circle?
2
Three planes may all intersect each other at exactly one point?
Three planes may all intersect each other at exactly one point. This commonly occurs when there is one straight plane and two other planes intersect it at acute or obtuse angles.
