Question

The point (-3,p) divides the line-segment joining the points (-5,-4) and (-2,3) internally in the ratio 2:1 . the value of p is ​

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

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