Question

If two lines representing a system of equations have slopes whose product is - 1. then what can be said about the nature of its solutions? A. Infinitely many solutions B. Two rational solutions C One unique solution D. No solution

Answer 1

Solution Consider two general Equations of line d, & la as follows: li: y = m, xtc, da: Y = M₂ Xt where, m, & my are slopes of li & lz and C,& C, are intercepts of li & 12 respectively. Since if product of their slope is -I then choose, m. m = -1 ni =m Then m₂ = -1 = -1 mi m Egh of fines de 4 la reduces to, y-mx=( & y thx=; li Y = mx + and la: y = - 1 x + which from a system of equations; A² = ? where, A= let - 2 det A= det 2 -mal -m-/ 1 1 m 3 m - det (A) =

Since mardo det CATEO 9 = The system og Egnation AX-2 - X=Å () :4 is invertible) unique solution Ej Home, option is correct B Rull the unit A to which gives (g) = A ta