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The equation for finding the line tangent to the circle C: x2 + (y + 5) 2 = 3 and with equal intercept on x-axis and y-axis
If the intercept is equal, let the equation of the straight line be: X / A + Y / a = 1, and the general formula is: x + Y-A = 0 is tangent to the circle, and the center of the circle is (0, - 5), then the distance from the center of the circle to the straight line is equal to the radius. According to the distance formula from the point to the straight line, D & sup2; = (0-5-a) & sup2; / (1 & sup2; + 1 & sup2;) = 3 (5 + a) & sup2; = 6
RELATED INFORMATIONS
- 1. How to find the linear equation which is tangent to the circle x square + (y + 5) square = 3 and has the same intercept on the X and Y axes?
- 2. 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 ...
- 3. 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,
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- 7. What is the tangent equation of a point m (4, - 3) over the circle x2 + y2 = 25
- 8. 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
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- 10. Tangent equation of circle x2 + y2 = 4 through M (radical 3,1)?
- 11. As shown in the figure, the coordinates of the center of the circle C are (1,1), and the circle C is tangent to the x-axis and y-axis. (1) find the equation of the circle C; (2) find the equation of the line which is tangent to the circle C and has the same intercept on the x-axis and y-axis
- 12. As shown in the figure, the coordinates of the center C are (2,2), and the circle C is tangent to the x-axis and y-axis. (1) find the general equation of the circle C; (2) find the linear equation which is tangent to the circle C and has the same intercept on the x-axis and y-axis
- 13. It is common to the line tangent to the circle x2 + (Y-2) 2 = 1 with equal intercept on the two coordinate axes______ Article
- 14. What is the linear equation that is tangent to the square of the circle x + (Y-2) and the intercept on the two axes is equal (the intercept is not 0)? You can't square your cell phone! Exam, urgent!
- 15. How many lines are there that are tangent to the square of circle C: x + (y + 5) and have equal intercept on two coordinate axes? How many lines are there that are tangent to the square of circle C: x + (y + 5) and have equal intercept on two coordinate axes?
- 16. Through a point P (7,0), the tangent length of the direction circle x square + y square - 4x-5 = 0 is?
- 17. When the fractional equation x-1x-3xx-1 + 1 = 0 is solved by the substitution method, if x-1x = y, the original equation is transformed into an integral equation about y, then the integral equation is () A. y2+y-3=0B. y2-3y+1=0C. 3y2-y+1=0D. 3y2-y-1=0
- 18. Whether there is a, so that sina + cosa = 3 / 2
- 19. 0°
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