Question

find the value of k for which the points (7 -2) (5 ,10) (3 k)​

Answer 1

Answer:

If the points are nonlinear then the area of triangle will be 0.

= 1/2 | x1 ( y2 - y3 ) + x2 ( y3 - y1 ) + x3 ( y1 - y2 ) |

= | 7 ( 1 - k) + 5 ( k + 2 ) + 3 (- 2 -1 ) | = 0

= | 7-7k + 5k + 10 - 9 | =0

= | - 2k + 8 | = 0

= - 2k = - 8,so

k = 4