wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Prove that the line y - x + 2 = 0 divides the join of points (3, -1) and (8, 9) in the ratio 2 : 3.

Open in App
Solution

Let AB be the line segmentLet P be any point which divides the line segment in the ratio 2 : 3 then using section formulax=lx2+mx1l+m,y=ly2+my1l+mwhere l:m::2:3 x=2(8)+3(3)2+3=16+95=255=5y=2(9)+3(1)2+3=1835=155=3Now P must lie on the line, where p is (5, 3)yx+2=0 3(5)+2=02+2=00=0Hence proved.


flag
Suggest Corrections
thumbs-up
12
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Parabola
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon