Question

Find the value of 'k' if the
points P(7, -2), Q(5, 1) and R(3,
k) are collinear​

Answer 1

Answer:

k=4

Step-by-step explanation:

solution is given in the above photograph

Answer 2

The answer to your question is:

Given: P(7,-2) , Q(5,1) and R(3,k) are collinear

To find: Value of k

Solution: Since P,Q and R are collinear

Therefore , PQ + QR = PR

Using distance Formula :

PQ=√ 13

QR=√ 4+(k-1)^2

PR=√ 16+(k+2)^2

Now,√ 13 +√ 4+(k-1)^2=√ 16+(k+2)^2

Squaring both sides

13+4+k^2-2k+1 = 16+ k^2+4k+4

18-2k= 20+4k

6k= -2

k= -1/3

Hope it helps