ICSE Class X Math 2013 Solved Paper

Question : 28

Total: 46

In △ABC,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 BC. (Given )

∴ The co-ordinate of D=(‌

7+1

,‌

8−10

)
=(4,−1)
Now equation of median AD,
y−y1=‌

y2−y1

x2−x1

(x−x1)
Here, x1=3,y1=5,x2=4,y2=−1
y−5‌=‌

−1−5

4−3

(x−3)
y−5‌=‌

−6

(x−3)
y−5‌=−6x+18
y‌=−6x+18+5
y‌=−6x+23
6x+y−23‌=0

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