# Line - examples

- Curve and line

The equation of a curve C is y=2x² -8x+9 and the equation of a line L is x+ y=3 (1) Find the x co-ordinates of the points of intersection of L and C. (2) Show that one of these points is also the stationary point of C? - Angle between lines

Calculate the angle between these two lines: ? ? - Slope

What is the slope of a line with an inclination 52°? - Circle

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 - 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| - XY triangle

Determine area of triangle given by line -7x+7y+63=0 and coordinate axes x and y. - Pizza master

Master says that he can splits pizza to 16 parts by five equals straight cuts. Is it possible? - Lines

In how many points will intersect 11 different lines, where no two are parallel? - Perpendicular

What is the slope of the perpendicular bisector of line segment AB if A[-9,-8] and B[-8,0]? - Perpendicular

Determine the slope of the line perpendicular to the line p: y = -10x +7. - Cone

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? - Line

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. - Center

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]. - Line

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 - Ladder

4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall? - Angle

A straight line p given by the equation ?. Calculate the size of angle in degrees between line p and y-axis. - Circles

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). - Circles

How many different circles is determined by 12 points at the plane, if 7 of them lie in a straight line?

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