The Total solution for NCERT class 6-12
Given:
2x − 5y + 3= 0 … (1)
5x − 9y+ λ = 0 … (2)
x − 2y + 1 =0 … (3)
It is given that thethree lines are concurrent.
Now, consider thefollowing determinant:
2(-9 + 2λ) + 5(5– λ) + 3(-10 + 9) = 0
-18 + 4λ + 25 –5λ – 3 = 0
λ = 4
∴ The value ofλ is 4.