Suppose that the points ( h , k ),(1,2) and (-3,4) lie on the line l₁ . If a line l₂ passing through the points (h, k) and (4,3) is perpendicular to l₁ , then ( k h ) equals

Step-by-step solution

Slope of line l₁= 4-2 -3-1 =- 1 2 Equation of l₁ is y-4=- 1 2 (x+3) x+2 y=5 ...(i) Since l₁ l₂ Slope of l₂=2 Equation of l₂ is aligned & y-3=2(x-4) & 2 x-y=5...(ii) aligned Solving (i) and (ii), we get aligned & x=3, y=1 & ~h =3, k =1 & k ~h = 1 3 aligned