Straight Line and Pair of Straight Lines 1 Question 19
19. Let be an integer such that the triangle with vertices and has area units. Then, the orthocentre of this triangle is at the point
(2017 Main)
(a)
(b)
(c)
(d)
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Solution:
- Given, vertices of triangle are
and .
Thus, the coordinates of vertices of triangle are
Now, equation of altitude from vertex
Equation of altitude from vertex
On solving Eqs. (i) and (ii), we get