From the point P (1, - 2) to the circle x ^ 2 + y ^ 2-6x-2y + 6 = 0, the tangent equation is | Math enthusiast | Mathematical art

From the point P (1, - 2) to the circle x ^ 2 + y ^ 2-6x-2y + 6 = 0, the tangent equation is

Suppose the tangent equation
y+2=k(x-1)
y=kx-k-2
kx-y-k-2=0
x^2+y^2-6x-2y+6=0
(x-3)^2+(y-1)^2=4
Center (3,1) radius 2
Distance from center to tangent = 2
2 = | 3k-1-k-2 | / root (k ^ 2 + 1)
k=5/12
The tangent equation is
y=5(x-1)/12-2
Obviously, x = 1 is also tangent

RELATED INFORMATIONS

1. Through P (4,1), make the tangent of the circle x ^ 2 + y ^ 2-6x-2y + 9 = 0, and find the tangent equation
2. If the tangent line of circle x ^ 2 + y ^ 2-2x-4y-15 = 0 is made through point P (- 1, - 2), then the equation of tangent line is
3. Tangent equation of point P (4, - 2) on circle X & sup2; + Y & sup2; - 2x + 4y-4 = 0
4. The equation of tangent passing through point P (2,3) leading circle x ^ 2 + y ^ 2-2x + 4Y + 4 = 0 is
5. ∫∫ x ^ 2 / y ^ 2D σ, where D is surrounded by the curve y = 1 / x, y = x, x = 1, x = 2
6. Teaching: the relationship between the value of double integral and the parity of integrand and the parity of integral region D Parity of integrand function with respect to X or Y What does it have to do with the value of the product? Compare this question: On the double integral of D: x ^ 2 * y DXDY D = {(x, y): x ^ 2 + y ^ 2 less than or equal to 2x} It is said that this double integral is equal to zero Why
7. Is the positive and negative of double integral related to the positive and negative of integral closed region? For example, if the same integrand is positive, but the closed region is positive In the first quadrant and the fourth quadrant, does the double integral become negative? In addition, is the definite integral also related to the positive and negative of the closed interval? For example, if they are all the same positive integrands, will the closed interval affect the positive and negative of the definite integral on the positive and negative half axes?
8. Double integral, the integrand is Max {(XY), 1}, and the integral region is 0
9. The weight ratio of the two baskets of apples is 5:3. Take 12 kg out of the basket and put it into the basket. At this time, the apples in the basket B are 8 kg more than those in the basket A. how many kg are the two baskets of apples?
10. If you increase the speed by 20%, you can arrive one hour earlier than the original time. If you drive at the original speed of 100 km, you will be able to get there, How many kilometers are there between a and B?
11. Finding tangent equation of circle x2 + Y2 + 2x-2y-3 = 0 passing through point (1,2)
12. Tangent equation of circle x2 + y2 = 4 through M (radical 3,1)?
13. The equation x2 + y2 = 4 of circle C makes two tangent lines of circle C through M (2,4) The equation x2 + y2 = 4 of circle C makes two tangent lines of circle C through M (2,4) The tangent point is a B The line AB just passes through the right vertex and the upper vertex of the ellipse T: x2 / A2 + Y2 / B2 = 1 Find t
14. Go through a point m (2,3) outside the circle x2 + y2 = 1, make two tangent lines Ma and MB of the circle, and the tangent points are a and B respectively, and find the equation of straight line ab
15. What is the tangent equation of a point m (4, - 3) over the circle x2 + y2 = 25
16. What is the length of the tangent line leading to the circle x square + y square - 4x-5 = 0 through a point P (7,0) Let's help
17. The tangent equation of circle x2 + y2-4x = 0 at point P (1,3) is___ ．
18. Through the point P (4,4), make the tangent line of the circle X & # 178; + Y & # 178; - 6x-4y + 12 = 0, and find the general equation of the tangent line
19. Given the circle C (X-2) 2 + y2 = 2, if the line L is tangent to the circle and the intercept of the two axes is equal,
20. Given that circle C: (X-2) ^ 2 + y ^ 2 = 3, line L is tangent to circle C and its intercept on two coordinate axes is equal, the equation of line L is obtained ...