Q1 of 319 Page 24

Find the point of intersection of the following pairs of lines:

Given:

The equations of the lines are

and

To find:

Point of intersection of pair of lines.

Concept Used:

Point of intersection of two lines.

Explanation:

Thus, we have:

………(1)

……….(2)

Solving (1) and (2) using cross - multiplication method:

and

Hence, the point of intersection is or

Find the point of intersection of the following pairs of lines:

2x – y + 3 = 0 and x + y – 5 = 0

Find the point of intersection of the following pairs of lines:

bx + ay = ab and ax + by = ab

Find the coordinates of the vertices of a triangle, the equations of whose sides are :

x + y – 4 = 0, 2x – y + 3 0 and x – 3y + 2 = 0

Find the coordinates of the vertices of a triangle, the equations of whose sides are :

y(t₁ + t₂) = 2x + 2at₁t₂. y(t₂ + t₃) = 2x + 2at₂t₃ and, y(t₃ + t₁) = 2x + 2at₁t₃.