Question

Find the value of k if the co ordinates of the points A(2,_2) , B (-4,2) C (-7,k are collinear

Answer 1

Given:-

• coordinates of points A(2,2) , B (-4,2) C (-7,k )

To find :-

• value of k

Solution:-

Note :-

• condition of three point (x1,y1)(x2,y2)(x3,y3) to be collinear is that area of ∆

• =1/2(x1(y2-y3)+(y3-y1)x2+x3(y1-y2)=0

using the concept in this question we get

it the points are collinear ,then area of ∆is =0

• =>1/2[2(2-k)+-4(k-2)+-7(2-2)=0
• =>1/2[4-2k-4k+8+0]=0
• =>1/2[12-6k]=0
• =>12-6k=0
• =>-6k=-12
• =>6k=12
• =>k=2

$\huge{\underline{\red{\mathfrak{Value \:of\:k\:is\:2}}}}$⠀⠀