Question

The line x/2 + y/4 = 1 intersects the axes at P and Q, the coordinates of the midpoint of PQ are:​

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).

Step-by-step explanation:

Its an example I guess !!

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