if a diameter of the circle 2x^2 +2y^2+4x+ky-27=0 passes through the point5,5 and the slope of the diameter is 0.5 find the value of k 回答問題

Question

if a diameter of the circle 2x^2 +2y^2+4x+ky-27=0 passes through the point5,5 and the slope of the diameter is 0.5 find the value of k 回答問題
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Solution 1

The equation of the circle is given by 2x^2 + 2y^2 + 4x + ky - 27 = 0.

First, we can rewrite this equation in the standard form of a circle equation, which is (x - h)^2 + (y - k)^2 = r^2.

Dividing the equation by 2, we get x^2 + y^2 + 2x + (k/2)y - 13.5 = 0.

Completing the square, we get (x + 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.
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