To find the intersection points of a circle with the y-axis, you need to know the equation of the circle. The general equation of a circle is (x-h)² + (y-k)² = r², where (h,k) is the center of the circle and r is the radius.

Since we're looking for the intersection with the y-axis, we set x = 0 in the equation of the circle. This gives us (0-h)² + (y-k)² = r², which simplifies to h² + (y-k)² = r².

Now, we solve this equation for y to find the intersection points. This gives us y = k ± sqrt(r² - h²).

So, the coordinates of the intersection points of the circle with the y-axis are (0, k + sqrt(r² - h²)) and (0, k - sqrt(r² - h²)).

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To find the intersection points of a circle with the y-axis, you need to know the equation of the circle. The general equation of a circle is (x-h)² + (y-k)² = r², where (h,k) is the center of the circle and r is the radius.

Since we're looking for the intersection with the y-axis, we set x = 0 in the equation of the circle. This gives us (0-h)² + (y-k)² = r², which simplifies to h² + (y-k)² = r².

Now, we solve this equation for y to find the intersection points. This gives us y = k ± sqrt(r² - h²).

So, the coordinates of the intersection points of the circle with the y-axis are (0, k + sqrt(r² - h²)) and (0, k - sqrt(r² - h²)).

Knowee AI · Accepted Answer

To find the intersection points of a circle with the y-axis, you need to know the equation of the circle. The general equation of a circle is (x-h)² + (y-k)² = r², where (h,k) is the center of the circle and r is the radius.

Since we're looking for the intersection with the y-axis, we set x = 0 in the equation of the circle. This gives us (0-h)² + (y-k)² = r², which simplifies to h² + (y-k)² = r².

Now, we solve this equation for y to find the intersection points. This gives us y = k ± sqrt(r² - h²).

So, the coordinates of the intersection points of the circle with the y-axis are (0, k + sqrt(r² - h²)) and (0, k - sqrt(r² - h²)).

the coordinates of the intersection points of the circle with the y-axis.

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