Question

What is the value of  a and the ratio, in which the point P(3,  a) divides the line segment joining the points A(1, 2) and B(6, 7)?​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

3is the right answer

Step-by-step explanation:

Using the section formula, if a point (x,y) divides the line joining the points (x1,y1) and (x2,y2) in the ratio m:n, then 

(x,y)=(m+nmx2+nx1,m+nmy2+ny1)

Let P(p,−1) divide the line segment joining the points A(1,−3) and B(6,2)

in m:1

then using section formula

p=m+16m+1−−−(1)    and   −1=m+12m−3−−−(2)

Form equation (2) 

−m−1=2m−3

⇒3m=2

⇒m=32

We know that P divides the line segment in 2:3.

now form eq (1)

p=m+16m+1=32+16×