ICSE Class X Math 2013 Solved Paper

Question : 28 of 46

Marks: +1, -0

△ A B C, A(3,5), B(7,8)

and

C(1,-10)

. Find the equation of the median through

A

Solution:

Here

D

is mid point of

B C

. (Given )

∴

The co-ordinate of

{\D}= (\;{7+1}/{2}, \;{8-10}/{2})

=(4,-1)

Now equation of median

{\AD}

y-y_1=\;{y_2-y_1}/{x_2-x_1} (x-x_1)

Here,

x_1=3, y_1=5, x_2=4, y_2=-1

y-5\;=\;{-1-5}/{4-3}(x-3)

y-5\;=\;{-6}/{1}(x-3)

y-5\;=-6 x+18

y\;=-6 x+18+5

y\;=-6 x+23

6 x+y-23\;=0

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