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junior college 2 | H3 Maths
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Thank you very much.
Date Posted: 6 years ago
Views: 476
Passes through the origin means y intercept is 0.
The centre of the circle is (-1,-2). Means it's in the negative part of both axes.
And the radius is 2 units.
When you draw the radius upwards from the centre (such that the radius is parallel to the y-axis), the point on the circle that you reach will be on the x-axis.
So y coordinate is 0.
( - 2 + 2 units upwards = 0 )
But your x coordinate remains unchanged at -1 since the radius is drawn parallel to the y-axis. So the tangent point is (-1,0).
Extend a line from the tangent point to the origin. You realise that this tangent is actually just the x-axis. So equation is
y = 0
The centre of the circle is (-1,-2). Means it's in the negative part of both axes.
And the radius is 2 units.
When you draw the radius upwards from the centre (such that the radius is parallel to the y-axis), the point on the circle that you reach will be on the x-axis.
So y coordinate is 0.
( - 2 + 2 units upwards = 0 )
But your x coordinate remains unchanged at -1 since the radius is drawn parallel to the y-axis. So the tangent point is (-1,0).
Extend a line from the tangent point to the origin. You realise that this tangent is actually just the x-axis. So equation is
y = 0
THANK YOU VERY MUCH
See 2 Answers
done
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clear
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final ans , y=0
Date Posted:
6 years ago
m1 should be undefined.
m1 = (y1 - y2) ÷ (x1 - x2)
= (0- (-2) ) ÷ (-1 - (-1) )
= 2 ÷ 0
→ undefined
- 1 = m1 x m2
m2 = -1 ÷ (2 ÷ 0)
m2 = - 1 x 0/2
= 0
(Usually, it's understood that if m1 is undefined then m2 is 0)
Check your circle drawing. If you draw the radius to the right of the centre , parallel to x-axis, the point will be (1, -2). So the circle should cut the y- axis.
m1 = (y1 - y2) ÷ (x1 - x2)
= (0- (-2) ) ÷ (-1 - (-1) )
= 2 ÷ 0
→ undefined
- 1 = m1 x m2
m2 = -1 ÷ (2 ÷ 0)
m2 = - 1 x 0/2
= 0
(Usually, it's understood that if m1 is undefined then m2 is 0)
Check your circle drawing. If you draw the radius to the right of the centre , parallel to x-axis, the point will be (1, -2). So the circle should cut the y- axis.
is there another way to solve this question cuz I don't understand your method....Thanks a lot.
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