Math, asked by chaitanyakhaire480, 8 months ago

Q27.Find the ratio in which the point P (x. 2) divides the line segment joining the points A{12, 5)
And B (4, -3). Also, find the value of x.

Answers

Answered by sawankumar64
3

let the required ratio be k:1

Then the coordinates of p are

by section formula

p[(4k+12/k+1) (-3k+5/k+1)

but this point is given as p(x,2).

therefore,-3k+5/k+1 =2

-3k+5 =2k+2

k=3/5

so, required ratio is 3:5

putting k=3/5 in p we get

x=[(4×3/5+12)/3/5+1

x=72/8=9

Hence x =9

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