Find Length of Segment AB in Circle Co-ordinate Question

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In summary, the conversation discusses finding the length of segment AB when a straight line with an angle of 135 degrees with the x-axis intersects a circle with the equations x=5cosm and y=5sinm at points A and B. The speaker attempted to solve the problem by finding the equation of the line, y=-x, but ended up with a length of 0. They mention that the solution used a different method and got a different answer, possibly due to incorrect use of concepts.
  • #1
anmolnanda
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the question:
if a straight line c(-*81/2,-*81/2) making an angle 135 dge with x-axis,cuts the circle x=5cosm y=5sinm in points A and B ,find length of segment AB .
in the equation of line by solving i got y=-x
and tried to solve and ended up getting length of AB as 0 but the solution has done a different way and got different answer//probably i am using some wrong concepts..please help
 
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  • #2
hi anmolnanda! :smile:

(have a square-root: √ and a degree: ° :wink:)
anmolnanda said:
the question:
if a straight line c(-*81/2,-*81/2) making an angle 135 dge with x-axis,cuts the circle x=5cosm y=5sinm in points A and B ,find length of segment AB .

i don't understand …

what does that point have to do with it? :confused:

what exactly is the question?​
 

1. What is the formula for finding the length of segment AB in a circle coordinate question?

The formula for finding the length of segment AB in a circle coordinate question is the Pythagorean Theorem, which states that the square of the length of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b), or c² = a² + b².

2. How do you determine the coordinates of point A and point B in a circle coordinate question?

The coordinates of point A and point B can be determined by using the center of the circle as the origin (0,0) and the radius of the circle as the distance from the center to either point. For example, if the center is at (0,0) and the radius is 5 units, point A could have coordinates (5,0) and point B could have coordinates (0,5).

3. Can the length of segment AB be negative in a circle coordinate question?

No, the length of segment AB cannot be negative in a circle coordinate question. Length is a measure of distance and cannot be negative, as it represents the distance between two points in a straight line.

4. How does the length of segment AB change if the circle's radius is increased or decreased?

The length of segment AB will change proportionally to the radius of the circle. If the radius is increased, the length of segment AB will also increase, and if the radius is decreased, the length of segment AB will also decrease. This is because the Pythagorean Theorem relies on the relationship between the sides of a right triangle, and changing the length of the radius will change the lengths of the sides of the triangle.

5. Are there any other methods for finding the length of segment AB in a circle coordinate question?

Yes, there are other methods for finding the length of segment AB in a circle coordinate question, such as using the distance formula or using trigonometric functions. However, the Pythagorean Theorem is the most commonly used method for this type of problem.

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