Math, asked by ghoshutpal001, 1 year ago

Find the value of k if the point s)p(5,4),q(7,k) and r(9,-2)are collinear

Answers

Answered by CRAZYMIND
4

Answer:

Step-by-step explanation:

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Answered by virtuematane
4

Answer:

Hence, the value of k such that the points p(5,4),q(7,k) and r(9,-2) are collinear is:

k=1

Step-by-step explanation:

If three points (x_1, y_1),(x_2, y_2) and (x_3, y_3) are collinear then [x_1(y_2 - y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]=0

Hence here we have:

(x_1,y_1)=p(5,4)

(x_2,y_2)=q(7,k)

(x_3,y_3)=r(9,-2)

Since, it is given that the points are collinear hence,

5(k+2)+7(-2-4)+9(4-k)=0\\\\\5k+10-14-28+36-9k=0\\\\-4k+4=0\\\\4k=4\\\\k=1

Hence, the value of k such that the points p(5,4),q(7,k) and r(9,-2) are collinear is:

k=1

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