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In what ratio does the point (a, 6) divide the join of (-4, 3) and (2, 8)? Also, find the value of a. - Mathematics

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Sum

In what ratio does the point (a, 6) divide the join of (-4, 3) and (2, 8)? Also, find the value of a.

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Solution

Let the point P (a, 6) divides the line segment joining A (-4, 3) and B (2, 8) in the ratio k: 1.
Using section formula, we have:

`6=(8k+3)/(k+1)`

`=> 6k+6=8k+3`

`=>3=2k`

`=>k=3/2`  .................(1)

`=>a=(2k-4)/(k+1)`

`=>a=(2xx3/2-4)/(3/2+1)`   (from equation 1)

`=>a=-2/5`

Hence, the required ratio is 3:2 and the value of a is `-2/5`

Concept: Section Formula
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APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 13 Section and Mid-Point Formula
Exercise 13 (A) | Q 5 | Page 177

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