Straight Line and Pair of Straight Lines 1 Question 65
65. The vertices of a triangle are
Find the orthocentre of the triangle.
(1983, 3M)
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Answer:
Correct Answer: 65.
Solution:
- Let
Then, Slope of
Slope of
So, the equation of a line through
The point of intersection of Eqs. (i) and (ii), is the orthocentre.
On subtracting Eq. (ii) from Eq. (i), we get
On putting
Hence, the coordinates of the orthocentre are
