If P divides the join of A(-2, -2) and B(2, -4) such that AP/AB = 3/7, find the coordinates of P
Answers
Answered by
28
x = m1x2+m2x1÷m1+m2= 0.8
y=m1y2+m2y1÷m1+m2=-2.6
y=m1y2+m2y1÷m1+m2=-2.6
Answered by
93
AP/AB = 3/7
which implies
AP/PB=3/4
Let P(x,y) divide AB in the ratio m:n.
m=3 n=4
Using section formula,
x = {3.2 + 4.(-2)}/3+4
x = (6-8)/7
x = -2/7
Similarly,
y = {3.(-4) + 4.(-2)}/3+4
y = (-12-8)/7
y = -20/7
Thus P(-2/7,-20/7)
which implies
AP/PB=3/4
Let P(x,y) divide AB in the ratio m:n.
m=3 n=4
Using section formula,
x = {3.2 + 4.(-2)}/3+4
x = (6-8)/7
x = -2/7
Similarly,
y = {3.(-4) + 4.(-2)}/3+4
y = (-12-8)/7
y = -20/7
Thus P(-2/7,-20/7)
Similar questions
English,
7 months ago
Physics,
7 months ago
Physics,
1 year ago
Math,
1 year ago
CBSE BOARD X,
1 year ago