Question

A line intersccts the y-axis and x-axis at the points P' ad Q respectively. If (2.-3) is the midpoint of PO, then the coordinatcs of P and Q will be=
(a) (0.-10) and (4,0)
(b) 4,0) and (10,0)
(c) (12,0) and (-4,0)
(d) (0.12) and (4,0)

Answer 1

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).

Solve