Question -
Answer -
(i) 15x – 18y + 1 = 0, 12x+ 10y – 3 = 0 and 6x + 66y – 11 = 0
Given:
15x – 18y + 1 = 0 ……(i)
12x + 10y – 3 = 0 ……(ii)
6x + 66y – 11 = 0 ……(iii)
Now, consider thefollowing determinant:
=> 1320 – 2052 +732 = 0
Hence proved, thegiven lines are concurrent.
(ii) 3x – 5y – 11 = 0, 5x +3y – 7 = 0 and x + 2y = 0
Given:
3x − 5y − 11= 0 …… (i)
5x + 3y − 7= 0 …… (ii)
x + 2y =0 …… (iii)
Now, consider thefollowing determinant:
Hence, the given linesare concurrent.