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Given the straight line L1: 3x-4y-17 = 0, L2: 3x-4y + 23 = 0, find the equation of circle C tangent to L1, L2 and X axes
The distance between L1 and L2 is d = (23 + 17) / 5 = 8, and the circle is sandwiched between the parallel lines L1 and L2. Therefore, the diameter is 8.. r = 4 and the center of the circle is on the line L3 in the middle of L1 and L2: 3x-4y + 3 = 0. R = 4 and tangent to the X axis. Then the ordinate of the center of the circle is positive or negative 4
1. The equation of circle tangent to the line 3x-4y-17 = 0, 3x-4y + 23 = 0 and x-axis
I've basically listed three equations, but I can't seem to work out the result
In two parallel lines, the center of the circle is on a straight line. Find out the line 3x + 4Y + 3 = 0, and then find out the intersection point with X ˊ. The point of this point 4 on this straight line is the center radius of the circle, which is 4. You can calculate it slowly
If a straight line L passes through point a (- 1, - 3) and its inclination angle is equal to twice the inclination angle of the straight line y = 2x, then the linear equation is equal to?
k1=tana1=2
k2=tan(2a1)=2tana1/(1-(tana1)^2)=4/(1-4)=-4/3
y=-4/3*(x+1)-3
4x+3y+13=0
It is known that the line m and the line L: 2x-y + 3 = 0 have the same intercept on the Y axis, and the inclination angle of the line m is twice that of the line L. The equation of the line m is obtained
If the slope of line L is - A / b = 2 and the inclination angle is a, then Tan a = 2
The slope of M is Tan 2A = (2tan a) / (1 - (Tan a) ^ 2)=
-4/3
The intercept is 3, so the equation is 4x + 3y-9 = 0
RELATED INFORMATIONS
- 1. When the line L passes through the point P (2, - 3), the inclination angle is 45 ° larger than that of the line y = 2x-1. The equation of line L is obtained
- 2. It is known that a straight line m and a straight line L: y = 2x + 3 have the same intercept on the y-axis, and the inclination angle is twice that of L. The equation for finding a straight line m is given
- 3. If a straight line is drawn through the point P (1,2) and its inclination angle is twice that of the straight line L: x-y-3 = 0, then the equation of the straight line is______ ．
- 4. The line L passing through the point P (1,2,) divides the circle x2 + y2-4x-5 = 0 into two arches. When the area of the smaller arch is the smallest, the equation of the line L is______ ．
- 5. Given that the straight line L passes through the point (2,1), the inclination angle is twice of the inclination angle of the straight line x-radical 3Y + 3 = 0, the equation for solving the straight line L is obtained
- 6. It is known that circle C: x ^ 2 + y ^ 2-2x + 4y-4 = 0. Is there any symmetry between two points a and B on circle C about the straight line y = kx-1, and the circle with diameter AB passing through the origin?
- 7. Given that x ^ 2 + y ^ 2 = 1 and the line y = 2x + m intersect a and B, and the angles between OA, OB and the positive direction of X axis are a and B respectively, it is proved that sin (a + b) is a fixed value
- 8. It is known that circle C passes through point a (- 2,0) and point (0,2), and the center of circle is on the straight line y = x, and there is a straight line L = KX + 1 intersecting with circle C at two points P and Q It is known that circle C passes through point a (- 2,0) and point (0,2), and the center of circle is on the straight line y = x, and there is a straight line L = KX + 1 intersecting with circle C at P and Q. The equation of circle C is obtained
- 9. If the moving point P (x0, Y0) moves on the curve y = 2x & # 178; + 1, find the trajectory equation of the midpoint of the line between P and point (0, - 1)
- 10. It is known that P is on the straight line L: x + Y-1 = 0 and Q is on the circle C: (X-2) 2 + (Y-2) 2 = 1. (1) make the tangent PM, PN and tangent point of circle C through P It is known that P is on the straight line L: x + Y-1 = 0 and Q is on the circle C: (X-2) 2 + (Y-2) 2 = 1. (1) through P, make the tangent PM, PN of circle C, and the tangent points are m, N, and find the minimum value of cos ∠ MPN. (2) through P, make the tangent PM, PN of circle C, and the tangent points are m, N, and find cos ∠ MPN ≤ 35, calculate the value range of abscissa of point P
- 11. Given the line l1:3x + 4Y = 6 and l2:3x-4y = - 6, then the relationship between the inclination angles of line L1 and L2 is
- 12. If the line and hyperbola x2-4y2 = 4 intersect at two points a and B, if the midpoint coordinate of line AB is (8,1), then the equation of the line is______ ．
- 13. Given the hyperbola x ^ 2-4y ^ 2 = 4 and the point m (8,1), the straight line passing through the electric m intersects the hyperbola at two points a and B, and M is the midpoint of the line AB, the equation of the straight line is obtained
- 14. The line passing through point P (8,1) intersects hyperbola x2-4y2 = 4 at two points a and B, and P is the midpoint of line ab. the equation of line AB is obtained
- 15. A. B is two points on hyperbola x ^ 2-y ^ 2 / 2 = 1, and point (1,2) is a line segment ab. the midpoint of the line AB equation is obtained
- 16. It is known that m (4,2) is the midpoint of line AB cut by ellipse x2 + 4y2 = 36, then the equation of line L is______ ．
- 17. If the midpoint of line a and B is (1,1), then the equation of L is?
- 18. The linear equation with ellipse (x ^ 2 / 9) + (y ^ 2 / 4) = 1 intersecting at two points a and B, and the midpoint of line AB is m (1,1) is, using the point difference method
- 19. Let the equation of the ellipse be x square + y square / 4 = 1, the straight line passing through M (0,1) intersects the ellipse at two points AB, O is the coordinate origin, Op vector = 1 / 2 (OA vector + ob vector). When l rotates around point m, the trajectory equation of the moving point P is obtained
- 20. If the parabola C1 and the parabola C2: y ^ 2 = - 4x are symmetric with respect to the straight line x + y = 2, then the focal coordinate of the parabola C1 is