Problem 1 :
Show that the line y = -3x - 10 is the tangent to the circle
x^{2} + y^{2} - 8x + 4y - 20 = 0
and also find the point of contact.
Problem 2 :
The circle
x^{2} + y^{2} + 4x - 7y - 8 = 0
cuts the y-axis at two points. Find the coordinates of these points.
Problem 3 :
The circle
x^{2} + y^{2} - 2x + 10y - 24 = 0
cuts the x-axis at the points A and B. Find the length of AB.
1) point of contact is (-2, -16).
2) points of contact are (0, 8) and (0, -1).
3) points of intersection are A(6, 0) and B(-4, 0).
Problem 1 :
Find the points where the line with equation y = 3x intersects the circle with equation x^{2} + y^{2} = 20.
Problem 2 :
Find the points where the line with equation y = 2x + 6 and circle with equation x^{2} + y^{2} + 2x + 2 y − 8 = 0 intersect.
Problem 3 :
Find the points of intersection of the line y = 2x + 8 and the circle with equation x^{2} + y^{2} + 4x + 2y – 20 = 0.
Problem 4 :
Find the points of intersection of the circle
x^{2} + y^{2} – 2x – 4y + 1 = 0
and the line
x + y = 1.
1) (√2, 3√2) and (-√2, -3√2).
2) (-2, 2) and (-4, -2).
3) (-6, -4) and (-2, 4).
4) (1, 0) and (-1, 2).
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM