Circle + line - practice problems
Number of problems found: 56
The circle touches two parallel lines p and q, and its center lies on line a, which is the secant of lines p and q. Write the equation of the circle and determine the coordinates of the center and radius. p: x-10 = 0 q: -x-19 = 0 a: 9x-4y+5 = 0
- Arbitrary 69194
There are ten arbitrary points in the plane. How many circles can we make from them?
- Parallels and one secant
There are two different parallel lines a, b, and a line c, that intersect the two parallel lines. Draw a circle that touches all lines at the same time.
- Distance 22043
There is a given circle k (S, 4 cm) and a line p. If the distance of the point S from the line p is less than 4 cm, then the line p is called?
- __________ 6734
Draw a circle k (S, r = 2cm). Mark the three axes of symmetry of the circle defined by this circle. Each axis of symmetry of the circle passes through __________.
How many different circles are determined by 9 points at the plane if 6 of them lie in a straight line?
- Rail turn
The curve radius on the railway line is 532 m . Length of rail track on it is 818 m. How many degrees is the angle ASB, if A and B are boundary points and S is center of arc curve.
- Find the 5
Find the equation of the circle with center at (1,20), which touches the line 8x+5y-19=0
Prove that k1 and k2 are the equations of two circles. Find the equation of the line that passes through the centers of these circles. k1: x2+y2+2x+4y+1=0 k2: x2+y2-8x+6y+9=0
- Touch circle
Point A has a distance IA, kl = 10 cm from a circle k with radius r = 4 cm and center S. Calculate: a) the distance of point A from the point of contact T if the tangent to the circle is drawn from point A b) the distance of the contact point T from the l
- Circle tangent
It is given to a circle with the center S and radius 3.5 cm. Distance from the center to line p is 6 cm. Construct a circle tangent n which is perpendicular to the line p.
- Tangent 6770
A circle k (S; 2.5 cm) and a point L are given if | SL | = 4cm. Make a tangent to the circle passing through point L.
- Applies 14683
Point B is the center of the circle. The line AC touches the circles at point C and applies AB = 20 cm and AC = 16 cm. What is the radius of the circle BC?
- Distance 4527
There are two points, K and L, KL = 4 cm. Draw a line p passing through the point K and having a distance of 4 cm from the point L.
- Distance problem
A=(x, x) B=(1,4) Distance AB=√5, find x;
- Calculate 6539
Calculate the magnitude of the angle formed by the lines p and q, which connect 1, 6 (line p), and 5, 8 (line q) on the clock face
- Tangents construct
The circle k is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has with a line p angle 60°. How many solutions have the task?
- Connect 6500
Draw the line KL = 55mm. Draw a circle k with center K and radius 4cm. Mark the points to belong to the circle and connect them with point L.
Suppose you know that the length of a line segment is 15, x2=6, y2=14 and x1= -3. Find the possible value of y1. Is there more than one possible answer? Why or why not?
- The triangle
The triangle is given by three vertices: A [0.0] B [-4.2] C [-6.0] Calculate V (intersection of heights), T (center of gravity), O - center of a circle circumscribed
Circle practice problems. Line - practice problems.