Math, asked by HISHAM1151, 1 year ago

Find the value of k, if the points A (2, 3), B (4, k) and C (6,-

3) are collinea​

Answers

Answered by mkrishnan
2

k =0 …...…................

2,4,6,are in,AP

3,k,-3 are in AP

k=0


mkrishnan: wow
mkrishnan: super
mkrishnan: i just know Tamil and English
rakhithakur: Malayalam
mkrishnan: are u in kerala
rakhithakur: no i am in Kolkata
mkrishnan: which standard do u study
rakhithakur: I am in class 11th with pcb and math in extra subject
mkrishnan: but i am higher secondary maths teacher
rakhithakur: wow
Answered by rakhithakur
4
Answer:

Let

X1 =2

X2 = 4

X3= 6

Y1= 3

Y2=k

Y3=-3

Step-by-step explanation:

Hence it collinea therefore area of triangles made by these points will be zero

So

X1(y2-y3)+x2(y3-y1)+x3(y1-y2)=0

Substituting the values we obtain

1/2[2(k+3)+ 4(-3-3)+6(3-k)]=0

1/2[2k+6+4(-6)+18-6k]=0

1/2(2k-6k+6+18-24)=0

1/2(-4k+24-24)=0

(1/2)(-4k+0)=0

-4k=0×2=0

K=0

Thx

rakhithakur: Is my answer right
mkrishnan: no k=0
mkrishnan: you take x3=5 but x3=6
mkrishnan: nice
HISHAM1151: Formula is 1/2 missed
mkrishnan: when equal to zero. 1/2 need not
mkrishnan: why didn't give atleast thank for me
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