Question

17. A and B are two points on the x-axis and y-axis
respectively. P(2, -3) is the midpoint of AB. Find
the
A
P(2,-3)
B
(i) co-ordinates of A and B
(ii) slope of line AB.
(iii) equation of line AB.
[2010]​

Answer 1

Answer:

Bbe(0,−6)

And P(2,−3) is the midpoint of AB

So,we have

2=

2

(x+0)

and −3=

2

(0+y)

x=4 and y=−6

(i) Hence, the co-ordinates of A are (4,0) and of B are (0,−6).

(ii) Slope of AB=

x

2

−x

1

y

2

−y

1

=

(0−4)

(−6−0)

=

4

−6

=

2

3

=m

(iii) Equation of AB will be

y−y

1

=m(x−x

1

)

y−(−3)=

2

3

(x−2) [AsPliesonit]

y+3=

2

3

(x−2)

2y+6=3x−6

3x−2y−12=0