Straight Line and Pair of Straight Lines 1 Question 60
60. Let be a triangle with . If is mid point of , the foot of the perpendicular drawn from to and the mid-point of . Prove that is perpendicular to .
Show Answer
Solution:
- Let
be taken as -axis with origin at , the mid-point of and will be -axis.
Given,
Let
Then, equation of
and equation of
On solving, Eqs. (i) and (ii), we get the coordinates of point
Since,
and slope of
From Eqs. (iii) and (iv),