please answer this question
Answers
Answer:
Step-by-step explanation:
given that,
→ PR = 2 * QR
So,
→ PR / QR = 2 / 1 .
→ PR : QR = 2 : 1.
Now, we know that, section formula says that, if R(x,y) divides P(a, b) and Q(c, d) in ratio m : n , than :-
P(x , y) = (cm + an)/(m + n) , (dm + bn)/(m + n) .
from question we have :-
P(a, b) = (-2, 5)
Q(c, d) = (3 , 2)
m : n = 2 : 1
Putting all values we get :-
→ x = (cm + an)/(m + n)
→ x = (3 * 2 + (-2)*1) / (2 + 1)
→ x = (6 - 2)/3
→ x = (4/3)
and,
→ y = (dm + bn)/(m + n)
→ y = (2*2 + 5*1)/(2 + 1)
→ y = (4 + 5) / 3
→ y = 9/3
→ y = 3.
Hence, the co - ordinates of R is (4/3, 3) .
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