How to find coordinates on a straight line from one point at a particular distance
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Let say we have a $2$D coordinate and a circle, the center is at origin and a straight line passes through the circle.
Let one coordinate is $(-3,3)$ and other we have to find the other coordinates$(x,y)$, where a straight line cuts the opposite side of coordinate$(-3,3)$. the straight line passes through the origin.
According to the above coordinates, the answer will be $(3,-3)$.
geometry
edited Aug 10 at 18:32
Key Flex
4,476525
asked Aug 7 at 16:53
Avnish Gupta
11
 |Â
show 2 more comments
up vote
0
down vote
favorite
Let say we have a $2$D coordinate and a circle, the center is at origin and a straight line passes through the circle.
Let one coordinate is $(-3,3)$ and other we have to find the other coordinates$(x,y)$, where a straight line cuts the opposite side of coordinate$(-3,3)$. the straight line passes through the origin.
According to the above coordinates, the answer will be $(3,-3)$.
geometry
edited Aug 10 at 18:32
Key Flex
4,476525
asked Aug 7 at 16:53
Avnish Gupta
11
Welcome to MSE. Could you please show some of the work that led you to believe the answer is $(3,-3)$? Showing your work is a good habit to get into on this site.
– Robert Howard
Aug 7 at 16:57
This is unclear to me. Perhaps rephrasing, giving different names to different things, and breaking this long sentence into several simple ones would help.
– Arnaud Mortier
Aug 7 at 17:02
Sorry the equation of line is x=y.
– Avnish Gupta
Aug 7 at 17:04
Don't you mean $x=-y?$
– saulspatz
Aug 7 at 17:12
Are you asking whether your answer is correct? Why are you unsure?
– saulspatz
Aug 7 at 17:14
 |Â
show 2 more comments
up vote
0
down vote
favorite
up vote
0
down vote
favorite
Let say we have a $2$D coordinate and a circle, the center is at origin and a straight line passes through the circle.
Let one coordinate is $(-3,3)$ and other we have to find the other coordinates$(x,y)$, where a straight line cuts the opposite side of coordinate$(-3,3)$. the straight line passes through the origin.
According to the above coordinates, the answer will be $(3,-3)$.
geometry
edited Aug 10 at 18:32
Key Flex
4,476525
asked Aug 7 at 16:53
Avnish Gupta
11
Let say we have a $2$D coordinate and a circle, the center is at origin and a straight line passes through the circle.
Let one coordinate is $(-3,3)$ and other we have to find the other coordinates$(x,y)$, where a straight line cuts the opposite side of coordinate$(-3,3)$. the straight line passes through the origin.
According to the above coordinates, the answer will be $(3,-3)$.
geometry
edited Aug 10 at 18:32
Key Flex
4,476525
asked Aug 7 at 16:53
Avnish Gupta
11
edited Aug 10 at 18:32
Key Flex
4,476525
edited Aug 10 at 18:32
Key Flex
4,476525
edited Aug 10 at 18:32
Key Flex
4,476525
4,476525
asked Aug 7 at 16:53
Avnish Gupta
11
asked Aug 7 at 16:53
Avnish Gupta
11
asked Aug 7 at 16:53
Avnish Gupta
11
11
Welcome to MSE. Could you please show some of the work that led you to believe the answer is $(3,-3)$? Showing your work is a good habit to get into on this site.
– Robert Howard
Aug 7 at 16:57
This is unclear to me. Perhaps rephrasing, giving different names to different things, and breaking this long sentence into several simple ones would help.
– Arnaud Mortier
Aug 7 at 17:02
Sorry the equation of line is x=y.
– Avnish Gupta
Aug 7 at 17:04
Don't you mean $x=-y?$
– saulspatz
Aug 7 at 17:12
Are you asking whether your answer is correct? Why are you unsure?
– saulspatz
Aug 7 at 17:14
 |Â
show 2 more comments
Welcome to MSE. Could you please show some of the work that led you to believe the answer is $(3,-3)$? Showing your work is a good habit to get into on this site.
– Robert Howard
Aug 7 at 16:57
This is unclear to me. Perhaps rephrasing, giving different names to different things, and breaking this long sentence into several simple ones would help.
– Arnaud Mortier
Aug 7 at 17:02
Sorry the equation of line is x=y.
– Avnish Gupta
Aug 7 at 17:04
Don't you mean $x=-y?$
– saulspatz
Aug 7 at 17:12
Are you asking whether your answer is correct? Why are you unsure?
– saulspatz
Aug 7 at 17:14
Welcome to MSE. Could you please show some of the work that led you to believe the answer is $(3,-3)$? Showing your work is a good habit to get into on this site.
– Robert Howard
Aug 7 at 16:57
Welcome to MSE. Could you please show some of the work that led you to believe the answer is $(3,-3)$? Showing your work is a good habit to get into on this site.
– Robert Howard
Aug 7 at 16:57
This is unclear to me. Perhaps rephrasing, giving different names to different things, and breaking this long sentence into several simple ones would help.
– Arnaud Mortier
Aug 7 at 17:02
This is unclear to me. Perhaps rephrasing, giving different names to different things, and breaking this long sentence into several simple ones would help.
– Arnaud Mortier
Aug 7 at 17:02
Sorry the equation of line is x=y.
– Avnish Gupta
Aug 7 at 17:04
Sorry the equation of line is x=y.
– Avnish Gupta
Aug 7 at 17:04
Don't you mean $x=-y?$
– saulspatz
Aug 7 at 17:12
Don't you mean $x=-y?$
– saulspatz
Aug 7 at 17:12
Are you asking whether your answer is correct? Why are you unsure?
– saulspatz
Aug 7 at 17:14
Are you asking whether your answer is correct? Why are you unsure?
– saulspatz
Aug 7 at 17:14
 |Â
show 2 more comments
1 Answer
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You know that the center of the circle is at origin. Now you can use the parametric form of the coordinates of a point on a straight line. Which tells the coordinates of two points on a straight line(in our case: the diameter under consideration) and a given point. Now we can use :
Coordinates (x±rcosA,y±rsinA) where r is the radius of the circle.
This is the best way to know it, according to me.
answered Aug 9 at 17:24
Shubh Khandelwal
612128
add a comment |Â
1 Answer
1
active
oldest
votes
1 Answer
1
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
0
down vote
You know that the center of the circle is at origin. Now you can use the parametric form of the coordinates of a point on a straight line. Which tells the coordinates of two points on a straight line(in our case: the diameter under consideration) and a given point. Now we can use :
Coordinates (x±rcosA,y±rsinA) where r is the radius of the circle.
This is the best way to know it, according to me.
answered Aug 9 at 17:24
Shubh Khandelwal
612128
add a comment |Â
up vote
0
down vote
You know that the center of the circle is at origin. Now you can use the parametric form of the coordinates of a point on a straight line. Which tells the coordinates of two points on a straight line(in our case: the diameter under consideration) and a given point. Now we can use :
Coordinates (x±rcosA,y±rsinA) where r is the radius of the circle.
This is the best way to know it, according to me.
answered Aug 9 at 17:24
Shubh Khandelwal
612128
add a comment |Â
up vote
0
down vote
up vote
0
down vote
You know that the center of the circle is at origin. Now you can use the parametric form of the coordinates of a point on a straight line. Which tells the coordinates of two points on a straight line(in our case: the diameter under consideration) and a given point. Now we can use :
Coordinates (x±rcosA,y±rsinA) where r is the radius of the circle.
This is the best way to know it, according to me.
answered Aug 9 at 17:24
Shubh Khandelwal
612128
You know that the center of the circle is at origin. Now you can use the parametric form of the coordinates of a point on a straight line. Which tells the coordinates of two points on a straight line(in our case: the diameter under consideration) and a given point. Now we can use :
Coordinates (x±rcosA,y±rsinA) where r is the radius of the circle.
This is the best way to know it, according to me.
answered Aug 9 at 17:24
Shubh Khandelwal
612128
answered Aug 9 at 17:24
Shubh Khandelwal
612128
answered Aug 9 at 17:24
Shubh Khandelwal
612128
answered Aug 9 at 17:24
Shubh Khandelwal
612128
612128
add a comment |Â
add a comment |Â
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Welcome to MSE. Could you please show some of the work that led you to believe the answer is $(3,-3)$? Showing your work is a good habit to get into on this site.
– Robert Howard
Aug 7 at 16:57
This is unclear to me. Perhaps rephrasing, giving different names to different things, and breaking this long sentence into several simple ones would help.
– Arnaud Mortier
Aug 7 at 17:02
Sorry the equation of line is x=y.
– Avnish Gupta
Aug 7 at 17:04
Don't you mean $x=-y?$
– saulspatz
Aug 7 at 17:12
Are you asking whether your answer is correct? Why are you unsure?
– saulspatz
Aug 7 at 17:14