Question

7. If the point C (k, 4) divides the join of points A(2, 6) and B (5, 1) in the ratio 2 : 3, then the value of
k is​

Answer 1

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Answer 2

Answer:

Step-by-step explanation:

Formula

O( x, y)= {m1x2+m2x1/m1+m2, m1y2+m2y1/m1+m2}

m1=2, m2=3

x1=2, x2=5

y1=6, y2=1

C(k,4)={ 2*5+ 3*2/2+3, 2*1+3*6/2+3}

C(k,4)= {10+6/5, 2+18/5}

C(k,4)={16/5,20/5}

C(k,4)={16/5, 4}

k=16/5=3.2