tell me this question please
Answers
Answer: PLEASE BRAINLIEST MY ANSWER
Step-by-step explanation:
2) Determine if points A(3,1), B(6,4) and C(8,6) are collinear.
⇒ collinear points are come in one line, then the slope is constant
SO to check the given points A(3,1), B(6,4) and C(8,6) are collinear
∴ slope of AB = slope of BC = constant
Now, formula for slope = (Y2-Y1)/(X2-X1)
slope of AB = (4-1)/(6-3) = 3/3 = 1
slope of BC = (6-4)/(8-6) = 2/2 = 1
slope of AB = slope of BC = 1
∵ the given points are collinear
3) Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2:3
⇒ Let the given points be A(-1,7) and B(4,-3)
Let the point be P(x,y) which divides AB in ratio 2:3
________________________________
A(-1,7) P(x,y) B(4,-3)
Here,
x = (m1x2+m2x1)/(m1+m2)
where,
m1= 2, m2=3
x1=-1, x2=4
∴ x = [(2*4)+(3*(-1))]/(2+3)
= [8-3]/5
= 5/5
x = 1
now, finding y
y = (m1y2+m2y1)/m1+m2
where
m1=2, m2=3
y1=7, y2=-3
∴ y = [(2*(-3))+(3*7)]/(2+3)
= [-6+21]/5
= 15/5
y = 3
Hence x=1 , y=3
the point P(x,y)≡(1,3) which divides AB