所選文字: find the constant k such that the circle x^2+y^2-2x+8y+k=0 and the straight line2x-y+4=0 intersact at only one point 回答問題

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所選文字: find the constant k such that the circle x^2+y^2-2x+8y+k=0 and the straight line2x-y+4=0 intersact at only one point 回答問題
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Solution 1

The equation of the circle can be rewritten in standard form as (x-1)^2 + (y+4)^2 = r^2, where r is the radius of the circle. The constant k is related to the radius by the equation k = -r^2 - 17.

The distance d from the center of the circle (1, -4) to the line 2x - y + 4 = 0 can be found using the Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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