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

Sum

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

#### 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