 Hi and welcome to the session. My name is Reshi and I am going to help you with the following question. Question is, on comparing the ratios A1 upon A2, B1 upon B2 and C1 upon C2, find out whether the lines representing the following pairs of linear equations intersect at a point or parallel or coincident. Equations are 6x minus 3y plus 10 is equal to 0 and 2x minus y plus 9 is equal to 0. First of all, let us understand that in a pair of linear equations A1x plus B1y plus C1 is equal to 0 and A2x plus B2y plus C2 is equal to 0. We have, if A1 upon A2 is not equal to B1 upon B2, then the lines intersect each other. If A1 upon A2 is equal to B1 upon B2 is equal to C1 upon C2, then lines are coincident. If A1 upon A2 is equal to B1 upon B2 is not equal to C1 upon C2, then lines are parallel. This is the key idea to solve this question. Let us now start with the solution. Rewriting the equations given in the question we get 6x minus 3y plus 10 is equal to 0 and 2x minus y plus 9 is equal to 0. Now these equations are of the form A1x plus B1y plus C1 is equal to 0 and A2x plus B2y plus C2 is equal to 0. Comparing the equations, we get the value of A1 is equal to 6, B1 is equal to minus 3, C1 is equal to 10, A2 is equal to 2, B2 is equal to minus 1, C2 is equal to 9. Now A1 upon A2 is equal to 6 upon 2 which is further equal to 3, B1 upon B2 is equal to minus 3 upon minus 1 which is equal to 3, C1 upon C2 is equal to 10 upon 9. Here we can see A1 upon A2 is equal to B1 upon B2 is not equal to C1 upon C2. Therefore by key idea the lines representing the equation 6x minus 3y plus 10 is equal to 0 and 2x minus y plus 9 is equal to 0 are parallel. Hence the lines are parallel is the required answer. This completes the session. Hope you understood the session well. Take care and goodbye.