Question

The lining joining (-1, 1) and (2, -2) and the line joining (1, 2) and (2, k) are
perpendicular to each other for the following value of k​

Answer 1

Step-by-step explanation:

The lines passing through the given points are parallel. Hence their The lines passing through the given points are parallel. Hence their

 slopes should be equal. Let m1andm2 are their slopes. slopes should be equal. Let m1andm2 are their slopes.

m1=y2−y1x2−x1=−2−12−(−1)=−33=−1m1=y2−y1x2−x1=−2−12−(−1)=−33=−1

m2=y2−y1x2−x1=k−22−1=k−2m2=y2−y1x2−x1=k−22−1=k−2

k−2=−1k−2=−1

⟹k=−1+2=1