Line - examples
- Right angled triangle 2
LMN is a right angled triangle with vertices at L(1,3), M(3,5) and N(6,n). Given angle LMN is 90° find n
- Angle between lines
Calculate the angle between these two lines: ? ?
What is the slope of a line with an inclination 52°?
Circle touch two parallel lines p and q; and its center lies on a line a, which is secant of lines p and q. Write the equation of circle and determine the coordinates of the center and radius. p: -x+3y+1 = 0 q: x-3y-1 = 0 a: -10x-3y-2 = 0
- XY triangle
Determine area of triangle given by line -7x+7y+63=0 and coordinate axes x and y.
- Hexagon - MO
The picture shows the ABCD square, the EFGD square and the HIJD rectangle. Points J and G lie on the side CD and is true |DJ|
- Pizza master
Master says that he can splits pizza to 16 parts by five equals straight cuts. Is it possible?
In how many points will intersect 11 different lines, where no two are parallel?
What is the slope of the perpendicular bisector of line segment AB if A[-9,-8] and B[-8,0]?
If the segment of the line y = -8x +4 that lies in quadrant I is rotated about the y-axis, a cone is formed. What is the volume of the cone?
In the triangle ABC is point D[-8,-9,9], which is the center of the |BC| and point G[5,9,5], which is the center of gravity of the triangle. Find the coordinates of the vertex A[x,y,z].
Determine the slope of the line perpendicular to the line p: y = 9x +7.
Straight line passing through points A [-3; 22] and B [33; -2]. Determine the total number of points of the line which both coordinates are positive integers.
Line p passing through A[-10, 1] and has direction vector v=(2, 4). Is point B[-20, -19] on the line p?
- Square side
Calculate length of side square ABCD with vertex A[0, 0] if diagonal BD lies on line p: -5x +7y +20 =0.
- The angle of lines
Calculate the angle of two lines y=-3x+25 and y=x-3
In the circle with a radius 7.5 cm are constructed two parallel chord whose lengths are 9 cm and 12 cm. Calculate the distance of these chords (if there are two possible solutions write both).
How many different circles is determined by 12 points at the plane, if 7 of them lie in a straight line?
How many parts of line divide 5 (different) points that lie on it?
A straight line p given by the equation ?. Calculate the size of angle in degrees between line p and y-axis.