Question

The line 3x − 2y = 18 intersects the X-axis and Y-axis at points A and B respectively. i. Find out the co-ordinates of A and B. ii. Slope of line AB. iii. Ratio in which the point P( 4, −3) divides the line segment AB.

Answer 1

Answer:

Let the co-ordiantes of P be (x,y) and Q be (x

2

,y

2

)

midpoint of PQ=(2,−5)

By midpoint formula,

x=

2

x

1

+x

2

and y=

2

y

1

+y

2

2=

2

x

1

+x

2

and −5=

2

y

1

+y

2

∴x

1

+x

2

=4 and y

1

+y

2

=−10

Since line PQ intersects the y-axis at P

So, x

1

=0.

Similarly, y

2

=0

∴x

2

=4 and y

1

=−10

The co-ordinates of P are (0,−10) and Q are (4,0).

Answer 2

Answer:

Answer (O,-10)................