Complete the following activities : (Any 1) (3) Find the co-ordinates of point A which divides seg PQ in the ratio a:b. a:b=3:4. Suppose P(x1,Yı)=P(-2,-5); Q(x2,92)=Q(4,3) Let A (x, y). Complete the following activity to find answer. by section formula
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Verified answer
Answer:
the ratio will be 1
Step-by-step explanation:
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Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Let the coordinates of point A be (x, y).
P(-2, -5), Q(4, 3), a : b = 3 : 4
Therefore,
x=
3+4
3×4+4×(−2)
=
7
12−8
=
7
4
y=
3+4
3×3+4×(−5)
=
3
9−20
=
7
−11
(x,y)=(
7
4
,
7
−11
)