Question 4 If A (4, 9), B (2, 3) and C (6, 5) are the vertices of ∆ ABC, then the length of median through C is (A) 5 units (B) √10 units (C) 25 units (D) 10
Joining vertex C to line AB such that
CD is the median
Coordinates of D = Coordinates of Mid point of AB
= ((4 + 2)/2,(9 + 3)/2)
=((6 )/2,12/2)
= (3, 6)
Finding length of CD
Length of CD = √((𝑥2 −𝑥1)2+(𝑦2 −𝑦1)2)
= √((3−6)2+(6−5)2)
= √((−3)2+12)
= √(9+1)
= √𝟏𝟎 units
So, the correct answer is (B)

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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