Question

@hartnn

Answer 1

If the point P divides the join of A(x1,y1) and B(x2,y2) internally , then
A) t<0
B) 0<t<1
C) t>1
D) t=1

Answer 2

where , \[\large \bf P(x_1+t(x_2-x_1),y_1+t(y_2-y_1))\]

Answer 3

\(\dfrac{m_1 x_2 + m_2x_1}{m_1+m_2} = x_1 + ....\)

need to find that ... first.

Answer 4

can you please elaborate ?

Answer 5

you know the formula for internal division of the segment in the ratio m:n
right??
i applies that, the co-ordinates of P should be what I wrote on left.

But, the given co-ordinates of P has x1+ ...

Answer 6

*applied

Answer 7

well i got the co ordinate of point P

Answer 8

do i show you ?

Answer 9

sure!

<<trying on my own here>>
\(t (x_2 -x_1) = \dfrac{m_1(x_1-x_2)}{m_1+m_2}\)

Answer 10

oops, that should be x2 - x1 on right

Answer 11

\(t = \dfrac{m_1}{m_1+m_2}\)
definitely less than 1, but positive :)