Through point a (4, - 3), make the tangent of circle C (x-3) &# 178; + (Y-1) &# 178; = 1, and find the formula of this tangent Through point a (4, - 3), make the tangent of circle C (x-3) &# 178; + (Y-1) &# 178; = 1, and find the equation of the tangent | Math enthusiast | Mathematical art

Through point a (4, - 3), make the tangent of circle C (x-3) &# 178; + (Y-1) &# 178; = 1, and find the formula of this tangent Through point a (4, - 3), make the tangent of circle C (x-3) &# 178; + (Y-1) &# 178; = 1, and find the equation of the tangent

Let the line be y = KX + B, point a is substituted into - 3 = 4K + B, and B = - 3-4k, so the line is y = kx-3-4k, that is, kx-y-3-4k = 0, center of circle (3,1), radius 1|3k-1-3-4k | / √ (k ^ 2 + 1) = 1, that is (- K-4) ^ 2 = k ^ 2 + 1K ^ 2 + 8K + 16 = k ^ 2 + 1, and the solution is k = - 15 / 8, so y = (- 15 / 8) x-3 + 15 / 215x + 8y-36 = 0 has a special line x =

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1. Find the tangent equation of point a [2,4] and tangent to circle C: [x-3] &# 178; + [Y-2] &# 178; = 1
2. Through the point (2, - 3) to the circle (x-1) & # 178; + (y + 3) & # 178; = 1, the tangent line is introduced and the tangent equation is solved
3. What is the tangent equation of a point m (- 3,4) over a circle X & # 178; + Y & # 178; = 25
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11. Find the tangent equation of the circle X & # 178; + Y & # 178; = 4 passing through point (3,0)
12. The tangent equation of a circle whose point passes through a point P (- 4, - 3) on the circle X & # 178; + Y & # 178; = 25 is
13. The tangent equation of a point P (- - 3,4) over a circle X & # 178; + Y & # 178; = 25 is I found that my answer is different from the answer. I don't know which one is wrong. So I need a process answer, please
14. The equation for finding the tangent line of the circle X & # 178; + Y & # 178; = 25 in the direction of point a (5,15)
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