👇👇👇👇 Point P Divides The Line Segment Joining R(-1, 3) And S(9,8) In Ratio K:1. If P Lies On the Line X – Y +2=0, Then Value of K - Mathematics

Point P divides the line segment joining R(-1, 3) and S(9,8) in ratio k:1. If P lies on the line x – y +2=0, then value of k is

(a) 2/3

(b) 1/2

(c) 1/3

(d) 1/4

(a) 2/3 

Explanation:

By Putting Values of X and Y in Equation

x - y + 2 = 0

= `"9k - 1"/"k + 1"` - `"8k + 3"/"k + 1"` + 2 = 0

= `"(9k - 1)-(8k + 3)"/"k + 1"` + 2 = 0

= `"9k - 1 - 8k - 3"/"k + 1"` + 2 = 0

= `"k - 4"/"k + 1"` + 2 = 0

= `"k - 4 + 2 (k + 1)"/"k + 1"` = 0

= `"3k - 2"/"k + 1"` = 0

= 3k - 2 = 0

= 3k = 2

∴ k = `2/3`

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CBSE Class 10 Mathematics Sample Paper-2022