Question

1. Find the angles of the triangle formed by the lines x + y - 4 = 0, 2x + y - 6 = 0,
5x + 3y - 15 = 0.
​

Answer 1

Explanation : We have Direct Method: Solving 3x - 4y - 13 = 0 and 8x - 11y -33 =0, we obtain x = 11 and y = 5 so that (11, 5) is the intersection of these lines. The third line 2x - 3y + k = 0 also passes through (11, 5). 2(11) - 3(5) + k = 0 k = -7Read more on Sarthaks.com - https://www.sarthaks.com/510933/if-the-lines-2x-3y-k-0-3x-4y-13-0-and-8x-11y-33-0-are-concurrent-then-the-value-of-k-is