External Division

Q. If the line segment joining $(2,-3)$ and $(5,6)$ is divided by the $y-$axis, then

1. the point of division is $(0,-9)$
2. the point of division is $(0,9)$
3. the ratio is $2:5$ externally
4. the ratio is $2:5$ internally

Q. The harmonic conjugate of the point $R(2,4)$ with respect to the points $P(2,2)$ and $Q(2,5)$ is

1. $(2,4)$
2. $(2,8)$
3. $(4,2)$
4. $(4,8)$

Q. The coordinates of the point(s) which divide(s) the line segment joining the point $(5,-2)$ and $(9,6)$ in the ratio $3:1,$ are

1. $(11,10)$
2. $(8,4)$
3. $(10,11)$
4. $(4,8)$

Q. If the line segment joining $(2,-3)$ and $(5,6)$ is divided by the $y-$axis, then

1. the point of division is $(0,-9)$
2. the point of division is $(0,9)$
3. the ratio is $2:5$ externally
4. the ratio is $2:5$ internally

Q. The ratio in which the point $(2,y)$ divides the line segment joining $(4,3)$ and $(6,3)$ is

1. $1:2$ externally
2. $1:2$ internally
3. $3:2$ externally
4. $3:2$ internally

Q. The coordinates of the point(s) which divide(s) the line segment joining the point $(5,-2)$ and $(9,6)$ in the ratio $3:1,$ are

1. $(11,10)$
2. $(8,4)$
3. $(10,11)$
4. $(4,8)$

Q. The coordinates of the point which divides the line segment joining (4, –3) and (9, 7) in the ratio 3 : 2 externally is .

1. (19, 27)
2. (7, 3)
3. (35, 15)
4. $(\frac{19}{5},\frac{27}{5})$