Question

If the ordered pair satisfying the equations `a_1 x+b_1 y +c_1 and a_2 x + b_2 y +c_2` has 1 as its first coordinate, then which of the following is correct?
A. `(a_1+ b_1)/(a_2 + b_2) = (c_1)/(c_2)`
B. `(b_1 + c_1)/(b_2 + c_2) = (a_1)/(b_2)`
C. `(c_1 + a_1)/(c_2 + a_2) = (b_1)/(b_2)`
D. All the above

Answer 1

Correct Answer - C
(i) Solve the given two equations.
(ii) Equare x co-ordinate to 1.
(iii) Substitute x = 1 in both the equations and solve for y.
(iv) Equate the values of y and obtain the required relation.