1.

Find the ratio in which the point (3, b) divides the segment joiningthe points A(7, 1) and B(0, 8). Find the value of b.​

Answer»

Answer:

Suppose the point P(−3,p) DIVIDES the line segment joining points A(−5,−4)≡(x2,Y2) and B(−2,3)≡(x1,y1) in the ratio k:1.

Section formula: [X=(m+nmx1+nx2)] and [y=(m+nmy1+ny2)]

 Then, the coordinates of P are(k+1−2k−5k+13k−4)

But, the coordinates of P are given as (−3,p).

∴k+1−2k−5=−3andk+13k−4=p

⇒−2k−5=−3k−3andk+13k−4=p

⇒k=2andp=k+13k−4


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