This is a Test of Mathematics Solution Subjective 62 (from ISI Entrance).
The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta
Consider the system of equations x + y = 2, ax + y = b. Find conditions on a and b under which
(i) the system has exactly one solution;
(ii) the system has no solution;
(iii) the system has more than one solution.
Solution to the linear equations
implies there is a unique solution.
implies there is either no solution or infinitely many solution.
No solution if: ; infinitely many solutions other wise.
i
This is a Test of Mathematics Solution Subjective 62 (from ISI Entrance).
The book, Test of Mathematics at 10+2 Level is Published by East West Press. This problem book is indispensable for the preparation of I.S.I. B.Stat and B.Math Entrance.
Also visit: I.S.I. & C.M.I. Entrance Course of Cheenta
Consider the system of equations x + y = 2, ax + y = b. Find conditions on a and b under which
(i) the system has exactly one solution;
(ii) the system has no solution;
(iii) the system has more than one solution.
Solution to the linear equations
implies there is a unique solution.
implies there is either no solution or infinitely many solution.
No solution if: ; infinitely many solutions other wise.
i