Question

If point P(-4, 6) divides the line segment AB
with A(-6, 10) in the ratio 2:1, then
coordinates of point B are ........
(A) (4, 3)
(B) (3, -4)
(C) (3, 4)
(D) (-3, 4)​

Answer 1

STEPBY STE EXPLANATION:

GIVEN POINTSA(-6,10) &B(3,-8)

LET POINTC(-4,6)

WE NEED TO FIND RATIO BETWEEN AC &CB

LET THE RATIO TO BE K:1

HENCE,

m1=K m2=1

ALSO,

x1=-6 y1=10

x2=3 y2=-8

A•____________C•_____________•B

(-6, 10) K (-4,6) 1 (3,-8)

Hope it helps u

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