point m(11,y) lies on the line segment joining the points p(15,5) and q(9,20).find the ratio in which point m divides the line segment pq.also find the value of y. (please solve the full questoin)
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let the ratio be k:1 or m1:m2=k
Now, using section formula...
m[11]= [k(9)+1(15)]/[k+1]
(9k+15)/(k+1)=11
9k+15=11k+11
11k-9k=15-11
2k=4
k=2
Therefore, the ratio = 2:1
Again, using section formula in y coordinates
m[y] = [2(20)+1(5)]/[2+1]
y = (40+5)/(3)
y = 45/3
y= 15
Now, using section formula...
m[11]= [k(9)+1(15)]/[k+1]
(9k+15)/(k+1)=11
9k+15=11k+11
11k-9k=15-11
2k=4
k=2
Therefore, the ratio = 2:1
Again, using section formula in y coordinates
m[y] = [2(20)+1(5)]/[2+1]
y = (40+5)/(3)
y = 45/3
y= 15
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