Question

intersection fotmula​

Answer 1

Answer:

the formula which u can imply on intersection is

verticle opposite angle

angle just opposite of each other

linear pair

Answer 2

Point of intersection means the point at which two lines intersect. These two lines are represented by the equation a1x2 + b1x + c1= 0 and a2x2 + b2x + c2 = 0 respectively. Given figure illustrate the point of intersection of two lines.

Point of Intersection Image

We can find the point of intersection of three or more lines also. By solving the two equations, we can find the solution for point of intersection of two lines.

Point of Intersection

Solved Examples

Question 1: Find out the point of intersection of two lines x2 + 2x + 1 = 0 and 2x2 + 3x + 5 = 0 ?

Solution:

Given straight line equations are: x2 + 2x + 1 = 0 and 2x2 + 3x + 5 = 0

Here,

a1 = 1

b1 = 2

c1 = 1

a2 = 2, b2 = 3, c2 = 5

Intersection point can be calculated using this formula,

x = b1c2−b2c1a1b2−a2b1; y = a2c1−a1c2a1b2−a2b1

(x,y) = (2×5−3×11×3−2×2,2×1−1×51×3−2×2)

(x,y) = (10−33−4,2−53−4)

(x,y) = (-7,3)