Question

If the point a(l, 5) , b(k, 1) and c(4, 11) are collinear, then find the value of k = ?

Answer 1

Answer:

k=-1

Step-by-step explanation:

for the points to be collinear

x1(y²-y³)+x²(y³-1)+x³(y¹-y²)=0 .....1

now the points are A(1,5),B(k,1) and C(4,11) I.e.

x1=1 y1=5

x2=k y2=1

x3=4 y3=11

put these values in 1 equation

1(1-11)+k(11-5)+4(5-1) = 0

-10+6k+16 = 0

6k+6 = 0

6k = -6

k = -1