 Hi and welcome to the session. Let's work out the following question. The question says find the ratio in which the join of the points 1, 2 and minus 2, 3 is divided by the line 3x plus 4y equal to 7. So let us see the solution to this question. Let the line joining the points 3 that is 1, 2 and q minus 2, 3b divided at r in ratio k is 2, 1. Then the coordinates of point r will be minus 2k plus 1 divided by k plus 1 and 3k plus 2 divided by k plus 1. Now r lies on the line 3x plus 4y equals to 7. Therefore 3 into minus 2k plus 1 divided by k plus 1 plus 4 into 3k plus 2 divided by k plus 1 is equal to 7. This implies minus 6k plus 3 divided by k plus 1 plus 12k plus 8 divided by k plus 1 is equal to 7. This implies minus 6k plus 3 plus 12k plus 8 divided by k plus 1 is equal to 7. This implies 6k plus 11 is equal to 7k plus 7. This implies k is equal to 4. So the required ratio is 4 is to 1. So this is our answer to this question. I hope that you understood the solution and enjoyed the session. Have a good day.