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2. Find the ratio in which a straight lines 5x – 6y – 21 = 0 divides the line segment joining the points
(4, –) and (2, 1).
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By mid point formula
(x2+x/2)(y2+y/2)
2+4/2;1+-1/2
6/2;0/2
3;0=P
P(x,y)=mx2+m2x/m+m2, my2+M2Y1/m+m2
P(3,0)=K(2)+1(4)/K+1,K(1)+1(-1)/K+1
P(3,0)=2K+4/K+1,K-1/K+1
3=(2K+4)/K+1
3(K+1)=2K+4
3k+3=2k+4
3k-2k=4-3
k=1/1
k=1:1.........Answer
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