Question

b. A point Y lies on PQ.​

Answer 1

Answer:

. A point Y lies on PQ

Answer 2

Answer:

Let the point A(x,y) which lies on line joining P(6,−6) and Q(−4,−1) such that

PA/PQ=

2/5

Line segment PQ is divided by the point A in the ratio

2:

3

.

Step 1: Find coordinates of A(x,y)

x=

2

m

1

2

2

1

m

1

x= (2(−4)+ 3(6))/(2+ 3)

= (−8+ 18)/5

= 10/5= 2

y=

2

m

1

2

2

1

m

1

y= (2(−1)+ 3(−6))/5

= (−2− 18)/5

= −20/5

= −4

Step2: Point A also lies on the line

3x+

k(y+

1)=

0

3(2)+ k(−4+ 1)= 0

6− 3k= 0

or

k=

2

.